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  • Fractions - converting

Equivalent fractions

Fractions Workbook for Grades 4-5

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Cross-multiply

Equivalent fractions have different numerators and denominators but equal value. Students must find the missing numerator or denominator to make the fractions in each problem equal.

equivalent fractions year 5 problem solving

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Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers.

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Equivalent Fractions Worksheet

Welcome to our Equivalent Fractions Worksheets page.

On this page we have a wide range of support sheets and practice sheets to help you to fully understand the concept of equivalent fractions.

Our worksheets are carefully graded so you can pitch the work at just the right level.

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Here you will find a selection of Fraction worksheets designed to help your child practice their equivalent fractions.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

We have split the sheets into two sections with the first section looking at visual fractions of circles.

The sheets in the second sections start off visual and become more abstract and tricky!

Using these sheets will help your child to:

  • develop an understanding of equivalent fractions;
  • know when two fractions are equivalent;
  • find a fraction that is equivalent to another.

Want to test yourself to see how well you have understood this skill?.

  • Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

  • How to Find Equivalent Fractions Support

Equivalent Fractions Worksheets

  • More related resources
  • Equivalent Fractions Online Quiz

How to Find Equivalent Fractions

Here you will find the support page on how to find equivalent fractions if you get stuck or want some support.

  • Finding Equivalent Fractions support page

Equivalent Fractions Worksheet with circles- Section 1

These sheets are all about using circles to create visual fractions to aid understanding of equivalence.

  • Equivalent Fraction Worksheets with circles 1
  • PDF version
  • Equivalent Fraction Worksheets with circles 2
  • Equivalent Fraction Worksheets with circles 3
  • Equivalent Fraction Worksheets with circles 4

Equivalent Fractions Worksheet - Section 2

These sheets start off in a visual way and gradually become more abstract and trickier.

  • Equivalent Fraction Wall Worksheet
  • Equivalent Fractions Worksheets 1 Number Lines
  • Equivalent Fraction Worksheets 2 Fraction Strips
  • Equivalent Fraction Worksheets 3
  • Equivalent Fraction Worksheets 4
  • Equivalent Fraction Worksheets 5

Equivalent Fractions Walkthrough Video

This short video walkthrough shows the problems from our Equivalent Worksheet 2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

  • Equivalent Fraction Strips

Using Equivalent Fraction Strips is a great way to learn your Fraction facts and help you to understand exactly how much fractions are worth in a visual way.

Using these fraction strips will help your child to:

  • understand Fraction as lengths;
  • understand equivalent fractions;
  • understand visually how much each fraction is worth.

Simplifying Fractions

Take a look at our Simplifying Fractions Practice Zone or try our worksheets for finding the simplest form for a range of fractions.

You can choose from proper fractions, improper fractions or both.

You can print out your results or benchmark your scores against future achievements.

  • Simplify Fractions Practice Zone
  • Simplifying Fractions Worksheet page

Comparing Fractions

Once you are confident at equivalent fractions, you can learn how to compare fractions by converting them to a common denominator.

We have some carefully graded worksheets on comparing and ordering fractions.

You can choose from supported sheets with diagrams for students who need extra help to harder worksheets for those more confident.

  • Comparing Fractions Worksheet page

Are you looking for free fraction help or fraction support?

Here you will find a range of fraction help on a variety of fraction topics, from simplest form to converting fractions.

There are fraction videos, worked examples and practice fraction worksheets.

Improper Fractions

We have a support page to help students understand how what improper fractions are and how to conver them.

We also have a wide range of Improper Fraction Worksheets, some of which use visual fractions to aid understanding and some sheets which are more abstract.

Convert Improper Fractions Image

  • How to Convert Improper Fractions
  • Improper Fraction Worksheets
  • Fractions Decimals Percents Worksheets

Looking to convert between fractions, decimals and percentages?

We have a wide range of worksheets to meet your needs!

  • Math Fraction Games

Here is our collection of Math games involving fractions.

These games are suitable for kids aged from 3rd grade and upwards.

Playing games is a great way to learn fraction skills in a fun way.

Fraction equivalence, fraction to decimal conversion and properties of fractions are all explored in our fun games to play.

Equivalent Fractions Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

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This quick quiz tests your knowledge and skill at finding and using equivalent fractions.

Fun Quiz Facts

  • This quiz was taken 1,645 times last academic year. The average (mean) score was 9.9 out of 14 marks.
  • Can you beat the mean mark?

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equivalent fractions year 5 problem solving

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Equivalent Fractions Year 5 Fractions Free Resource Pack

Equivalent Fractions Year 5 Resources

Step 1: Equivalent Fractions Year 5 Spring Block 2 Resources

Equivalent Fractions Year 5 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 2.

equivalent fractions year 5 problem solving

What's included in the pack?

This pack includes:

  • Equivalent Fractions Year 5 Teaching PowerPoint.
  • Equivalent Fractions Year 5 Varied Fluency with answers.
  • Equivalent Fractions Year 5 Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 5: (5F2b)  Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Differentiation:

Varied Fluency Developing Questions to support finding fractions equivalent to a half, a third, a quarter or a fifth using pictorial support where the original denominator is represented first. Expected Questions to support finding equivalent unit and non-unit fractions using pictorial support where the original denominator is represented first. Greater Depth Questions to support finding equivalent fractions of unit and non-unit fractions using pictorial support where the image represent a multiple of the denominator.

Reasoning and Problem Solving Questions 1, 4 and 7 (Reasoning) Developing Describe an error in a model of equivalent fractions of a half, a third, a quarter or a fifth using pictorial support where the original denominator is represented first. Expected Describe an error in a model of equivalent unit and non-unit fractions using pictorial support where the original denominator is represented first. Greater Depth Describe an error in a model of equivalent fractions of unit and non-unit fractions using pictorial support where the image represents a multiple of the denominator.

Questions 2, 5 and 8 (Reasoning) Developing Correct and explain errors when shading equivalent fractions of a half, a third, a quarter or a fifth where the original denominator is represented first. Expected Correct and explain errors when shading equivalent unit and non-unit fractions where the original denominator is represented first, Greater Depth Correct and explain errors when calculating equivalent fractions of unit and non-unit fractions.

Questions 3, 6 and 9 (Problem Solving) Developing Find 2 possibilities for a missing function used to create equivalent fractions of a half, a third, a quarter or a fifth using pictorial support where the image represents a multiple of the denominator. Expected Find 2 possibilities for a missing function used to create equivalent unit or non-unit fractions. Greater Depth Find 2 possibilities for two missing functions used to create equivalent fractions of unit and non-unit fractions.

This resource is available to download with a Taster subscription.

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equivalent fractions year 5 problem solving

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Exploring Fractions

  • The first group  gives you some starting points to explore with your class, which are applicable to a wide range of ages.  The tasks in this first group will build on children's current understanding of fractions and will help them get to grips with the concept of the part-whole relationship. 
  • The second group of tasks  focuses on the progression of ideas associated with fractions, through a problem-solving lens.  So, the tasks in this second group are curriculum-linked but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.   

equivalent fractions year 5 problem solving

  • are applicable to a range of ages;
  • provide contexts in which to explore the part-whole relationship in depth;
  • offer opportunities to develop conceptual understanding through talk.

equivalent fractions year 5 problem solving

Finding equivalent fractions and simplifying fractions

Spine 3: Fractions – Topic 3.7

Introduction

Discover how equivalent fractions have the same proportional relationship between the numerator and denominator, and therefore have the same numerical value. Convert between equivalent fractions and simplify fractions.

Teaching points

  • Teaching point 1 : When two fractions have different numerators and denominators to one another but share the same numerical value, they are called ‘equivalent fractions’.  
  • Teaching point 2 : Equivalent fractions share the same proportional (multiplicative) relationship between the numerator and denominator. Equivalent fractions can be generated by maintaining that relationship through the process of multiplication and division.  
  • Teaching point 3 : Fractions can be simplified by dividing both the numerator and denominator by a common factor.

Teacher Guide

Representations, all year 5 files, related pages.

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Equivalent Fraction Word Problems

Equivalent Fraction Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

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Last updated

23 November 2017

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Equivalent fractions: Reasoning and Problem Solving

Equivalent fractions: Reasoning and Problem Solving

COMMENTS

  1. Year 5 Diving into Mastery: Equivalent Fractions Teaching Pack

    This excellent diving into mastery teaching pack has been written to align with the White Rose Maths scheme of learning for year 5 autumn term block 4 small step 3: Recognise Equivalent Fractions. An easy-to-follow PowerPoint is included which contains fluency, reasoning and problem-solving activities for your children to work through together. The accompanying activity sheets are ideal for ...

  2. PDF Year 5 Equivalent Fractions Reasoning and Problem Solving

    Reasoning and Problem Solving - Equivalent Fractions - Year 5 Developing. 4a.Amelia has coloured two grids to. create an equivalent fraction. =. Two parts are shaded in. each grid so they show. equivalent. fractions.

  3. Equivalent fractions worksheets

    Cross-multiply. Equivalent fractions have different numerators and denominators but equal value. Students must find the missing numerator or denominator to make the fractions in each problem equal. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6. 5 More.

  4. Equivalent Fractions Worksheet

    Here you will find our selections of Equivalent Fractions Worksheet which will help your child learn to spot and understand when two fractions are equivalent. ... If you would like some support in solving the problems on these sheets, check out the video! ... This quiz was taken 1,645 times last academic year. The average (mean) score was 9.9 ...

  5. PDF Discussion Problems Step 1: Equivalent Fractions

    down, left, right and diagonally to equivalent fractions. Barney must start and end on a shaded square. Clare must start and end on a white square. DP DP classroomsecrets.co.uk Discussion Problems -Equivalent Fractions -Year 5 12 20 6 18 2 7 21 18 24 24 30 5 8 25 21 30 Barney Clare 4 6 16 24 28 42 20 28 12 18 32 48 20 30 36 54 3 7 9 21 18 ...

  6. Equivalent Fractions Challenge

    Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 365.44 KB. docx, 35.24 KB. A selection of questions to practise converting between equivalent fractions that include opportunities for some problem solving, the use of a variety of mathematical terminology and some deeper thinking about the topic.

  7. PDF Year 5 Equivalent Fractions Reasoning and Problem Solving

    Reasoning and Problem Solving - Equivalent Fractions - Year 5 Developing. 4a.Amelia has coloured two grids to. create an equivalent fraction. =. Two parts are shaded in. each grid so they show. equivalent. fractions.

  8. Y5 Equivalents of Unit Fractions PlanIt Maths Lesson 1

    A unit fraction is a fraction where the top number (numerator) is 1 and the bottom number (denominator) is a whole number. Examples of unit fractions are one-half, one-quarter or one-eighth. A complete maths lesson for teaching year 5 children to find equivalent unit fractions.

  9. Free Year 5 Equivalent Fractions Lesson

    This Year 5 Equivalent Fractions lesson covers the prior learning of finding equivalent fractions where the denominators are multiples, before moving onto the main skill of finding equivalent fractions. ... powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving ...

  10. Equivalent Fractions Year 5 Fractions Free Resource Pack

    Greater Depth Find 2 possibilities for two missing functions used to create equivalent fractions of unit and non-unit fractions. This resource is available to download with a Taster subscription. Step 1: Equivalent Fractions Year 5 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving ...

  11. Fractions

    Year 5 KS2 Maths Fractions learning resources for adults, children, parents and teachers. ... Equivalent fractions and decimals. A Maths guide on how to work out equivalent fractions and decimals.

  12. 724 Top "Equivalent Fractions Year 5" Teaching Resources ...

    Teacher Aides Fractions Resource Pack 3-6. Explore more than 724 "Equivalent Fractions Year 5" resources for teachers, parents and pupils as well as related resources on "Year 5 Equivalent Fractions". Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities, resource packs, PowerPoints, teaching ideas at ...

  13. Recognise equivalent fractions- Fractions-Year 5

    This is a whole lesson based on the Year 5 fractions objective of "Recognise equivalent fractions". This resource includes the teacher input ( learning journey), ind. International; Resources; ... reasoning and problem solving or simply those who don't want to plan it themselves but want high quality resources and quality first teaching. =)

  14. Fractions KS2

    Fractions in a Box. Age 7 to 11. Challenge Level. The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  15. Equivalent fractions (video)

    Well, by the same principle, as long as we multiply the numerator and the denominator by the same numbers, we'll get an equivalent fraction. So if we multiply the numerator times 7 and the denominator times 7, we'll get 21-- because 3 times 7 is 21-- over 35. And so 3/5 and 21/35 are equivalent fractions.

  16. Y5: Step 15 Equivalent Fractions, Decimals and Percentages

    This engaging teaching pack is specifically designed to enhance year 5 childrens' understanding of equivalent fractions, decimals and percentages and complements the Y5 small step 15 of the White Rose Maths scheme of learning 3.0 spring block 3 'Equivalent fractions, decimals and percentages'. This resource offers a structured and engaging ...

  17. PDF Year 5 Compare and Order Less than 1 Reasoning and Problem Solving

    Reasoning and Problem Solving - Compare and Order Less than 1 - Year 5 Expected. 7a.Fran is comparing the fractions 8. 13 25 and 30 . They are both in the 5 times tables so I can divide by 5 to find equivalent fractions. GD.

  18. PDF Year 5 Equivalent FDP Reasoning and Problem Solving

    Mathematics Year 5: (5F12) Solve problems which require knowing percentage and decimal equivalents of 1/2 , 1/4 , 1/5 , 2/5 , 4/5 and those fractions with a denominator of ... Expected Explain which statement about equivalent fractions, decimals and percentages is correct. Includes half, quarters, fifths and denominators of a multiple of 10 or 25.

  19. How to Teach Fractions in Year 5: Equivalent Fractions

    This How to Teach Fractions in Year 5: Equivalent Fractions CPD resource will help you teach the fraction unit of maths in year 5. This Twinkl CPD resource includes: Clear explanations and helpful guidance about teaching fractions. What children will learn about this topic in year 5. Common misconceptions and errors.

  20. Exploring Fractions

    Exploring Fractions. Introduction. At NRICH, our aim is to offer rich tasks which develop deep understanding of mathematical concepts. Of course, by their very nature, rich tasks will also provide opportunities for children to work like a mathematician and so help them develop their problem-solving skills alongside this conceptual understanding.

  21. Finding equivalent fractions and simplifying fractions

    Teaching point 1: When two fractions have different numerators and denominators to one another but share the same numerical value, they are called 'equivalent fractions'. Teaching point 2: Equivalent fractions share the same proportional (multiplicative) relationship between the numerator and denominator.

  22. Equivalent Fraction Word Problems

    Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 20.27 KB. pptx, 230.89 KB. There is a PPT with equivalent fraction word problems on there so you can guide their understanding. There is also an activity sheet with a range of word problems and activities that challenge the children's understanding of equivalent fractions.

  23. Equivalent fractions: Reasoning and Problem Solving

    Equivalent fractions: Reasoning and Problem Solving, Maths, Year 5, Number, Fractions, Equivalence, Sign Up to Download