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Year 5 – Fractions

Welcome to Year 5 Fractions, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support fractions, decimals and percentages lessons in Year 5 and at home.

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Fractions Do Now Tasks / Starters

Fraction Addition Do Now Tasks  

Fraction Subtraction Do Now Tasks 

Fraction Addition and Subtraction Do Now Tasks

Multiply Fractions by Whole Numbers Do Now Tasks

Differentiated question sets.

Fraction of a Number Question Set 

Adding Fractions Question Set  

Multiply Fractions by Whole Numbers Question Set

Multiply Mixed Numbers by Whole Numbers Question Set  

Subtracting Fractions Question Set 

Subtracting Mixed Numbers Question Set 

Shading fractions.

Shading Fraction of a Shape

Fractions of a number.

Fraction of a Number 

Strips- Fractions of a Number

Fading Scaffolding Strips- Fraction of a Number  

Add fractions.

Add Fractions with Denominators that are Multiples of the Same Number

Add Fractions with Denominators that are Multiples of the Same Number 

Strips- Add Fractions with Denominators that are Multiples of the Same Number

Faded Scaffolding Strips- Add 3 Fractions With Denominators That Are Multiples 

Add Fractions with Denominators that are Multiples of the Same Number Greater than 1

Fading Scaffolding Strips- Add Fractions with Denom Multiples of Same Number 

Strips- Adding Fractions Within 1

Strips- Adding Fractions with a Total Greater than 1

Subtract fractions.

Subtract Fractions with Denominators that are Multiples of the Same Number

Strips- Subtract Fractions with Denominators that are Multiples of the Same Number 

Strips- Add Fractions with Denominators that are Multiples of the Same Number Greater than 1

Subtract Fractions with Denominators that are Multiples of the Same Number Greater than 1

Strips- Subtract Fractions with Denominators that are Multiples of the Same Number Greater Than 1 

Fading Scaffolding Strips- Subtract Fractions Denom Multiples of Same Number

Add and subtract fractions.

Add and Subtract Fractions with Denominators that are Multiples of the Same Number

Strips- Add and Subtract Fractions with Denominators that are Multiples of the Same Number 

Adding and Subtracting Fractions Greater than 1 Part-Whole Model 

Adding and Subtracting Fractions Part-Whole Model 

Fading Scaffolding Strips- Add Subt Fractions with Denom Multiples of Same Number Over 1 

Strips- Add and Subtract Fractions with Denom that are Multiples of the Same Number Greater Than 1 

Add and Subtract Fractions with Denominators that are Multiples of the Same Number Greater than 1

Strips- Complements of 1 

Simplify fractions.

Strips- Simplify Fractions

Ordering and comparing fractions.

Order Fractions with Denominators that are Multiples of the Same Number

Faded Scaffolding Strips- Order Fractions With Denominators That Are Multiples 

Compare Fractions with Denominators That are Multiples of the Same Number

Equivalent fractions.

Equivalent Fraction

Strips- Equivalent Fraction

Multiply fractions.

Multiply Proper Fractions by Whole Numbers

Multiply Unit Fractions by Whole Numbers

Multiply Fraction by Whole Number

Faded Scaffolding Strips Multiply Fractions by  Whole Numbers

Multiply Mixed Number by Whole Number

Multiply Mixed Numbers  by Whole Numbers

Strips- Multiply Mixed Number by Whole Number

Strips- Multiply Fraction by Whole Number

Fading Scaffolding Strips- Multiply Mixed Numbers by Whole Numbers 

Fading Scaffolding Strips- Multiply Unit Fractions by Whole Numbers 

Add and subtract mixed numbers.

Add Mixed Numbers with the Same Denominator

Subtract Mixed Numbers with Denominators that are Multiples of the Same Number

Strips- Adding to a Mixed Number

Convert mixed numbers and improper fractions.

Convert Improper Fractions  to Mixed Numbers

Convert Improper Fractions to Mixed Numbers

Strips- Convert From Improper Fractions to Mixed Numbers 

Convert Mixed Numbers  to Improper Fractions

Strips- Convert From Mixed Numbers to Improper Fractions

Convert From Mixed Numbers to Improper Fractions

Convert Between Mixed Numbers and Improper Fractions

Convert Between Mixed Numbers and Improper Fractions –  Number Lines

Fading Scaffolding Strips- Change Improper Fractions to Mixed Numbers

Fading Scaffolding Strips- Change Mixed Number to Improper Fractions

Fraction challenges.

Adding and Subtracting Fractions Greater Than 1 Grid Challenge

Adding and Subtracting Fractions Grid Challenge

Fractions problem solving.

Multiply Mixed Numbers by Whole Numbers Problem Solving

Fraction reasoning.

Multiply Mixed Numbers by Whole Numbers Reasoning

Decimals do now tasks / starters.

Decimal Addition Same DP Do Now Tasks

Decimal Subtraction Different DP Do Now Tasks

Decimal Subtraction Same DP Do Now Tasks

Mixed Decimal Addition and Subtraction Do Now Tasks

Decimal Addition and Subtraction Different DP Do Now Tasks

Decimal Addition and Subtraction Same DP Do Now Tasks

Decimal Addition Different DP Do Now Tasks

Decimal differentiated question sets.

Decimal Addition Question Set

Decimal Subtraction Question Set 

Decimal Subtraction Question Set

Subtract a Decimal from a Whole Number Question Set

Add decimals.

Add Decimal Numbers 

Strips- Add Decimal to Whole

Subtract decimals.

Strips- Subtract Decimal Numbers 

Strips- Subtract Decimal from Whole

Faded Scaffolding Strips- Subtract Decimal From Whole 

Add and subtract decimals.

Strips- Add and Subtract Decimal Numbers 

Strips- Add and Subtract Decimals and Whole Numbers 

Rounding decimals.

Faded Scaffolding Strips- Round Decimal Numbers to the Nearest Tenth 

Faded Scaffolding Strips- Round Decimal Numbers to the Nearest Whole Number 

Converting between decimals and fractions.

Faded Scaffolding Strips- Write Decimal Numbers as Fractions

Faded Scaffolding Strips- Write Fractions as Decimals

Strips- Read and Write Fractions as Decimals

Decimal problem solving.

Multiply and Divide by 10, 100 and 1,000 Problem Solving

Multiply and Divide by 10, 100 and 1000 Puzzle

Multiply by 10, 100 and 1000 Puzzle

Divide by 10, 100 and 1000 Puzzle

Decimal reasoning.

Divide by 10, 100 and 1,000 – Reasoning

Multiply and Divide by 10, 100 and 1,000 Reasoning

Add Decimal Numbers with the Same DP Reasoning

Add Decimal Numbers with Different DP Reasoning

Subtract Decimal Numbers from Whole Numbers Reasoning

Subtract Decimal Numbers with Different DP Reasoning

Subtract Decimal Numbers with the Same DP Reasoning

Percentages, mixed fraction, decimals & percentages.

Strips- Calculate Using Fractions, Decimals and Percentages

Strips- Fraction, Decimal and Percentage Equivalence

Equality and inequality statements.

Equality and Inequality Statement Matching- Decimals 

Equality and Inequality Statement Matching – Multiplying by Known Facts

Steps to success - fdp.

Add Fractions With a Total Greater Than 1- Steps to Success

Add Fractions Within 1- Steps to Success

Add to a Mixed Number- Steps to Success

Add Two Mixed Numbers- Steps to Success

Compare Fractions Greater than 1- Steps to Success

Compare Fractions Less than 1- Steps to Success

Find a Fraction of an Amount- Steps to Success

Find Equivalent Fractions- Steps to Success

Improper Fractions to Mixed Numbers- Steps to Success

Mixed Numbers to Improper Fractions- Steps to Success

Multiply a Fraction by an Integer- Steps to Success

Multiply a Mixed Number by an Integer- Steps to Success

Order Fractions Greater than 1- Steps to Success

Order Fractions Less than 1- Steps to Success

Subtract Fractions Within 1- Steps to Success

Subtract From a Mixed Number- Break the Whole- Steps to Success

Subtract From a Mixed Number- Convert to Improper- Steps to Success

Subtract Two Mixed Numbers- Break the Whole- Steps to Success

Subtract Two Mixed Numbers- Convert to Improper- Steps to Success

Hinge questions - fdp.

Fractions, Decimal and Percentages- Hinge Questions

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Year 5 Fractions (including decimals and percentages)

Click on an objective for related worksheets and resources.

Year 5: Decimals and fractions

New Maths Curriculum (2014): Year 5 objectives.

Pupils extend counting from Year 4, using decimals and fractions including bridging zero, for example on a number line.

They should add and subtract decimals including a mix of whole numbers and decimals, decimals with different numbers of decimal places, and complements of 1 (e.g. 0.83 + 0.17 = 1).

They should mentally add and subtract tenths, and one-digit whole numbers and tenths.

Pupils should say, read and write decimal fractions and related tenths, hundredths and thousandths accurately and be confident in checking the reasonableness of their answers to problems.

Pupils should go beyond the measurement and money models of decimals, for example by solving puzzles involving decimals.

Read and write decimal numbers as fractions (e.g. 0.71 = 71/100)

Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents, round decimals with two decimal places to the nearest whole number and to one decimal place, read, write, order and compare numbers with up to three decimal places, solve problems involving number up to three decimal places..

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Year levels.

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Expected level of development

Australian Curriculum Mathematics V9 : AC9M5N04

Numeracy Progression : Additive strategies: P9, Number and place value: P8

At this level, students recognise that fractions, decimal fractions and percentages are equivalent ways to represent and make sense of quantities. They learn about the different contexts where it makes sense to use one of the constructs to express a proportional relationship.

Once students understand fractions and decimal fractions, they can then explore equivalent representations of percentages. A useful way to conceptualise percentages is to think of them as fractions, where the amount is always described relative to 100. The term ‘per cent’ is another name for hundredths. For example, 75% is the same as 0.75 or 75 100 .

Provide opportunities for the students to sort, order and compare visual and symbolic representations of fractions, decimals and percentages. Emphasise number sense by asking students explain their thinking.

Use proportional concrete materials such as decimats or Cuisenaire rods to support conceptual understanding. Dynamic software using tangrams or pattern blocks can provide different contexts for students to explore proportional relationships. Stress the importance of equal-sized parts. For example, if a number line is partitioned into six equal-sized parts then the name and size of the part is sixths.

To support conceptual understanding, move beyond prototypical representations of rational numbers. One way to do this is to consider that while fractional parts must be the same size, they do not need to be the same shape.

Provide contexts for students to link improper fractions to percentages greater than 100%.

Use diagrammatic representations to help students recognise the fractions as a division construct. For example, students can think of   1 3   as 3 ÷ 5 which, when typed into a calculator will give a decimal solution. Dynamic software can be used to enable students to connect this thinking to visual models through partitioning 3 into 5 equal parts.

Teaching and learning summary:

• Demonstrate the link between fraction equivalence and percentages to describe, represent and compare relative size.

• make connections between concrete, visual and symbolic representations of fractions, decimal fractions and percentages
• explain why a chosen representation makes sense in specific contexts.

Some students may:

• have difficulties representing small percentages such as 1.2%, or percentages that include decimal fractions such as 40.5%. Area models such as decimats will help students understand and represent these quantities.
• think that the longer the decimal number the larger it is. For example, when comparing 0.3 and 0.258 they would consider the latter to be the larger because they revert to whole-number thinking and concentrate on the length of the numbers after the decimal. Other students may believe the opposite, that the shorter the decimal number the larger it is. For example, they may think 0.2 is larger than 0.25 as they think that a hundredth is smaller than a tenth.
• see   3 4   and   5 6   as equivalent as they are both one number away from being a whole number. Model residual thinking where students compare the size of the fraction that is needed to get to 1 ( 1 4   and   1 6   in the case above) to help them appreciate the size difference between the two fractions. 

The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.

Learning intention

• We are learning to represent decimals to three decimal places.

Why are we learning about this?

• Decimals are part of our everyday lives.

1. Have a think about the number 0.258.

Here is the number 0.258 shown on three different number lines.

• Can you see on the first number line 0.258 is in between 0.2 and 0.3?
• On the second number line the number 0.258 is shown between 0.25 and 0.26.
• On the third number line the position of 0.258 is shown on the number line.

2. Can you represent the number 0.625 on a number line? Draw your own number line to represent the number.

• Where might you see this number used? Give an example.
• How would you say the number 0.625? Write your answer down.

Success criteria

• partition a decimal number into its place value parts
• represent a decimal pictorially.

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Teaching strategies.

A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well. 

Explicit teaching

Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.

Concrete, Representational, Abstract (CRA model)

The CRA model is a three-phased approach where students move from concrete or virtual manipulatives, to making visual representations and on to using symbolic notation.

Questioning

A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.

Classroom talks

Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.

Teaching resources

A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

Map masterpiece

Students explore the world of house and garden design while delving into the fascinating realm of percentages.

Decimaster: match-up 1

Using this interactive tool, students are presented with a decimal. They are required to determine the equivalent fraction and visual representation to match the given decimal.

Beginning with percentages

This unit supports students to recognise percentages in everyday contexts, gain knowledge of simple percentages as proportions, and find simple percentages of amounts.

Open middle: Related percentages

A fluency-building, open-ended task where students must use the digits 0 to 9 as many times as they want to create a correct number sentence using percentages and whole numbers.

Matching fractions, decimals and percentages

Dynamic software where the aim of the game is to match pairs of cards. A good activity to reinforce equivalent representations and build fluency. There are five different levels of difficulty.

Open middle: Equivalent fractions

A fluency-building, open-ended task where students must use the digits 1 to 9, no more than one time each, to make three equivalent fractions.

Doughnut percents

Students work collaboratively in teams to match equivalent representations of fractions, decimal fractions and percentages to form a doughnut shape.

Quarter the cross: card sort

There are several mathematical investigation ideas in this resource. Card sort asks students to match visual and symbolic representations of 1/4.

Keeping it in proportion

This learning sequence aims to develop student understanding of fractions and decimals.

Relevant assessment tasks and advice related to this topic.

By the end of Year 5, students order and represent, add and subtract fractions with the same or related denominators.

Mathematics Year 5 ACARA

Refer to work sample 5 'Number: Who are the fastest swimmers?' to assess students' capacity to compare and order decimal fractions.

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Y5 Fractions, Decimals and Percent Lesson 19 - Word Problems - Year 5

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

6 September 2023

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This is a complete lesson pack with high quality resources for Year 5 Fractions, Decimals and Percentages - Word Problems.

This lesson pack includes:

• Differentiated Activity Sheets

The lesson forms a part of a series of lessons on Fractions, Decimals and Percentages . Other lessons in this series are:

• Lesson 1: Equivalent Fractions
• Lesson 2: Compare and Order Fractions
• Lesson 3: Improper Fractions and Mixed Numbers
• Lesson 4: Converting between Improper Fractions and Mixed Numbers
• Lesson 5: Adding Fractions >1
• Lesson 6: Subtracting Fractions >1
• Lesson 7: Adding Fractions (different denominators)
• Lesson 8: Subtracting Fractions (different denominators)
• Lesson 9: Multiplying Fractions by Whole Numbers
• Lesson 10: Multiplying Mixed Numbers by Whole Numbers
• Lesson 11: Tenths and Hundredths
• Lesson 12: Thousandths
• Lesson 13: Rounding Decimals (from 2 d.p.)
• Lesson 14: Comparing Decimals (3 d.p.)
• Lesson 15: Adding Decimals (3 d.p.)
• Lesson 16: Subtracting Decimals (3 d.p.)
• Lesson 17: Percent
• Lesson 18: Equivalent Fractions, Decimals and Percentages
• Lesson 19: Word Problems

You can find the unit bundle here: https://www.tes.com/teaching-resource/resource-12562751

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Y5 Unit Bundle Fractions , Decimals and Percentages- Year 5

This is a complete unit pack with high quality resources for Year 4 Fractions and Decimals. It includes 19 lesson packs covering the following topics: Lesson 1: Equivalent Fractions Lesson 2: Compare and Order Fractions Lesson 3: Improper Fractions and Mixed Numbers Lesson 4: Converting between Improper Fractions and Mixed Numbers Lesson 5: Adding Fractions >1 Lesson 6: Subtracting Fractions >1 Lesson 7: Adding Fractions (different denominators) Lesson 8: Subtracting Fractions (different denominators) Lesson 9: Multiplying Fractions by Whole Numbers Lesson 10: Multiplying Mixed Numbers by Whole Numbers Lesson 11: Tenths and Hundredths Lesson 12: Thousandths Lesson 13: Rounding Decimals (from 2 d.p.) Lesson 14: Comparing Decimals (3 d.p.) Lesson 15: Adding Decimals (3 d.p.) Lesson 16: Subtracting Decimals (3 d.p.) Lesson 17: Percent Lesson 18: Equivalent Fractions, Decimals and Percentages Lesson 19: Word Problems Each lesson pack includes: * PowerPoint Presentation * Differentiated Activity Sheets * Challenge Cards * A4 Poster

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Year 5 Fractions and Decimals Worksheets

Updated:  21 Jun 2020

Use these fractions and decimals worksheets in your Year 5 classroom for independent practice or as an assessment activity.

Non-Editable:  PDF

Pages:  16 Pages

• Curriculum Curriculum:  AUS V8, NSW, VIC, AUS V9
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Compare and order common unit fractions and locate and represent them on a number line

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

Recognise that the place value system can be extended beyond hundredths

Compare, order and represent decimals

Fractions, Decimals and Percentages - compares, orders and calculates with fractions, decimals and percentages

Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

Fractions and Decimals Worksheets for the Year 5 Maths Curriculum

If you’re looking for a set of fractions and decimals worksheets aligned to the Australian Maths Curriculum, look no further than this comprehensive resource from Teach Starter!

Inside this worksheet pack, you’ll find thoughtfully crafted worksheets covering essential fractions and decimals concepts addressed in the Year 5 curriculum. Each worksheet is meticulously designed to provide a well-rounded approach to mastering these foundational mathematical skills.

This 8-page fractions and decimals worksheet pack addresses the following concepts:

• Fractions on a number line
• Adding and subtracting fractions
• Decimals to thousandths
• Comparing, ordering and representing decimals

Two versions of each worksheet page are provided: an ‘A’ version and a ‘B’ version. Use Version A for your pre-test and Version B for your post-test, or vice versa! Alternatively, you could use one version of each worksheet for independent practice during your fractions and decimals unit and the second version as an assessment. The choice is yours!

Answer sheets are also provided for all worksheets to make marking quick and painless.

Choose Your Preferred Version of These Fractions and Decimals Worksheets

One of the unique features of this fractions and decimals worksheet pack is the flexibility it provides in terms of download options. There are two versions of the worksheet pack available for download:

• Year Level Displayed – This option comes with the year level clearly displayed at the top, making it easy to identify the specific year-level curriculum being targeted.
• No Year Level Displayed – This option comes with no level year displayed at the top. This makes a great differentiation option as it allows educators to use a worksheet aligned to a higher year level’s curriculum for more-capable students or a worksheet aligned to a lower year level’s curriculum for less-confident students (without the students knowing this!).

This versatile resource offers a multitude of applications in the classroom, catering to various teaching strategies. Whether you’re engaging in pre- and post-testing, facilitating independent classwork, conducting revision sessions or assigning homework, this resource is your go-to tool for fostering a deep understanding of fractions and decimals among students.

Download to Access These Fractions and Decimals Worksheets for Year 5

This fractions and decimals worksheet pack for Year 5 downloads as a black-and-white printable PDF. Use the dropdown menu on the Download button to access your preferred version (year level displayed or no year level displayed).

As this worksheet pack contains answers, we recommend printing one copy of the entire resource. Once you have removed the answer pages, you can make the required copies for your students.

More Fractions and Decimals Resources to Explore and Download

Save more time on planning with Teach Starter’s extensive range of curriculum-aligned, teacher-created maths resources! Here are some more fractions and decimals resources that you are sure to find useful:

[resource:5049561] [resource:5057840] [resource:4954990]

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Operations with Fractions – Maths Mats

Use these maths mats when reviewing fraction operations with your students.

Fraction Comparison Worksheet – Differentiated

Use visual models to create fraction comparisons with this cut-and-paste worksheet designed for year 5 students.

Comparing Fractions Board Game

Improve student understanding of how to compare fractions with the same numerators or denominators with this comparing fractions game.

Comparing Fractions – Task Cards

Practise comparing fractions with the same numerator or denominator with this set of 24 task cards.

Comparing Fractions – Exit Tickets

Compare fractions with the same numerator or denominator with this set of 24 exit tickets.

Comparing Fractions – Differentiated Cut and Paste Worksheets

Compare fractions with like numerators and denominators with this cut and paste worksheet.

Comparing Fractions – Teaching Presentation

Teach your students about comparing fractions with like numerators or denominators by means of visual models, number lines and mathematical reasoning.

Comparing Fractions – Sorting Activity

Strengthen fraction comparison skills by sorting cards according to the inequality symbol that makes each statement true.

Comparing Fractions Mini-Book

Use this mini-book to help your students learn how to compare fractions with visual models, number lines and mathematical reasoning.

Writing About Fractions- Task Cards

Review fraction concepts and practice mathematical constructed response writing with a set of writing about fractions task cards.

Your child will also order fractions whose denominators are all multiples of the same number. For example:

Put the fractions   ,   ,   ,   , and     in order from least to greatest.   ,  ,  ,  ,  .

Identify equivalent fractions

Use mixed numbers and improper fractions

Your child will recognise mixed numbers and improper fractions , and will be able to convert one to the other.

Add and subtract fractions with denominators that are multiples of the same number

Your child will use drawings, diagrams, and symbols to add and subtract fractions with the same denominator, and denominators that are multiples of the same number. For example:

  +     =   .     +     =     =   .

Multiply proper fractions and mixed numbers by whole numbers

Children will use objects and diagrams to:

Read and write decimal numbers as fractions

Your child will be able to understand the equivalence between decimals and fractions. For example:

Use tenths, hundredth, thousandths, and their decimal equivalents

They will be able to mentally add and subtract tenths, as well as mixed numbers that have one-digit whole numbers and tenths.

Round numbers to one decimal place

Your child will round numbers with two decimal places up or down to the nearest whole number. For example, 3.45 will round down to 3.

They will also round numbers with two decimal places up or down to one decimal place. For example, 2.67 will round up to 2.7.

Compare numbers with three decimal places

Your child will learn to read, write, order and compare decimal numbers with up to three decimal places.

For example, they will be able to:

• read and write numbers with three decimal places (for example, 1.454, 1.764, 1.654, 1.453)
• put them in order (for example, 1.453, 1.454, 1.654, 1.764)
• compare them (for example, 1.453 < 3.454).

Solve problems involving numbers with three decimal places

Understand and use percentages.

Your child will know that percentages, decimals, and fractions are different ways of expressing proportions.

They will make connections between percentages, fractions, and decimals. For example:

100% = 1   1% =    = 0·01   50% =    = 0·5   25% =    = 0·25

Your child will also recognise the percent symbol (%) and understand that ‘percent’ means ‘number of parts per hundred’. They will be able to write percentages as a fraction with denominator 100, and as a decimal fraction.

Compare percentages to fractions and decimals

How to help at home

There are lots of ways you can help your child to understand fractions. Here are just a few ideas.

1. Explore mixed numbers and improper fractions

Mixed numbers and improper fractions can be difficult for your child to grasp at first.

It often helps children to learn about these types of fractions visually. Diagrams can help their understanding:

Fraction Calculations in School

Ask your child to gather a number of pizza slices to make an improper fraction. Can they use these slices to show a mixed fraction? Can your child write down a mathematical way to reach the same answer?

2. Add and subtract fractions

Adding fractions.

In Year 5, your child will continue to add and subtract fractions. They will now be expected to add and subtract fractions whose denominators are multiples of the same number. For example:

 +   = ? First they will need to find the lowest common denominator (i.e. the smallest multiple of the two numbers). The lowest common denominator here is 8, because it is the smallest number both 4 and 8 will divide into equally. Your child will then have to multiply the numerator and the denominator by 2 to represent   in eighths: Your child will now be able to add the fractions:    +   =   –   = 

Subtracting fractions

Your child will follow a similar process to subtract fractions like these. For example:

  –    = ?   Your child will first need to find the   lowest common denominator , which is 12. So,     will become     as the numerator and the denominator will each be multiplied by 4. The     will become     as the numerator and the denominator will each be multiplied by 3. Your child will then be able to subtract     from     to leave   .    –   =   –   =   

More practice

You could practise calculating with fractions using the pizza cutouts in the Fraction Calculations in School booklet.

3. Multiply fractions by whole numbers

Your child will learn to multiply proper fractions and mixed numbers by whole numbers.

4. Investigate decimals

Show your child a number with 3 decimal places and ask them to tell you how many tenths, hundredths, or thousandths it has. For example, the number 4·203 has two tenths, zero hundredths, and three thousandths.

Place value charts can help your child to better understand decimal numbers:

Look for examples of these numbers in the real world and point them out to your child.

For example, when filling the car with petrol, ask your child to tell you what the number is by explaining how many tenths, hundredths, or thousandths it has. You could also ask them to round the total price or the total amount of petrol up or down to the nearest whole number, tenth, or hundredth. For instance, if you used 56.784 litres of petrol, you could ask your child to round this to the nearest litre (57L), tenth (56.8L), or hundredth (56.78L).

5. Investigate percentages

In Year 5, your child will be introduced to percentages. Talk about how ‘percent’ means ‘number of parts per hundred’.

Sales at the shops can provide great real-life opportunities to work with percentages. For example, you could ask your child to help you work out the sale price of an item. If there is 30% off a T-shirt and the full price is £9.99, what is 30% of the full price and what is the sale price?

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5 Engaging Fractions and Decimals Activities for Middle School Math

Decimals and fractions review is needed every year for middle school students. Whether it is adding, subtracting, multiplying, or dividing fractions and decimals, it seems like students always could use some extra practice. Although these concepts can seem hard and scary at first for students, making fractions and decimals practice fun and engaging can completely change a student’s attitude toward math. Your students will love these 5 engaging fractions and decimals activities for middle school math!

1. Fractions and Decimals Math Games

Who doesn’t love a fun math game? My Fractions and Decimals Board Game Bundle includes 9 math board games related to operations with fractions or decimals. In the games, students answer problems as they try to become the first player to make it around the board. The “Take a Chance” spots also add an element of luck to the games!

2. Hands On Long Division Activity

This is a great activity for practicing long division, with or without decimals. I love how it forces students to slow down and take their time, as they search for the correctly numbered cards to use in their long division problems!

3. Numbers and Operation Math Brain Teasers

These Math Brain Teasers disguise math practice in a fun to use format! Perfect for partner use, you can try out my numbers and operations themed 5th grade brain teasers ( Decimals Set or Fractions Set ), 6th grade brain teasers , 7th grade brain teasers , and 8th grade brain teasers . Each set includes 105 problems for that grade level.

4. Math Scavenger Hunts

Scavenger Hunts are incredibly engaging for middle school students! Who knew that simply posting problems around the room could be so much more engaging than a worksheet! There is something to be said about the built in movement breaks that these math scavenger hunts provide. I have a TON of math scavenger hunts in my TpT store, but you can get started with this free 5th Grade Math Dividing Whole Numbers Hunt or this 6th Grade Math Number System Hunt .

5. Hands On Fractions Dice Activity

This is an easy to prep multiplying and dividing mixed numbers review activity . Using dice makes this one a little more fun and engaging when it comes to these math skills.

I hope your students enjoy these numbers and operations activities! Many of these activities work great as math centers in a math workshop structure. If you are interested in learning how to get math centers started in your classroom, be sure to check out these 3 Tips for Making Math Centers Work .