equivalent fractions homework year 6

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• Fractions - simplifying

Equivalent fractions

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Math worksheets: Equivalent fractions (2 fractions)

Below are six versions of our grade 6 math worksheet on equivalent fractions; students find the missing numbers to make the 2 fractions shown equivalent.. These worksheets are pdf files .

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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.

• 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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Free Printable Equivalent Fractions Worksheets for 6th Year

Equivalent Fractions: Discover a collection of free printable worksheets for Year 6 Math teachers, designed to help students master the concept of equivalent fractions through engaging activities.

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• Whole Numbers as Fractions

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Explore printable Equivalent Fractions worksheets for 6th Year

Equivalent Fractions worksheets for Year 6 are an essential resource for teachers looking to help their students master the concept of fractions in mathematics. These worksheets provide a variety of exercises and problems that challenge students to understand and apply their knowledge of fractions, while also reinforcing the importance of critical thinking and problem-solving skills. With a focus on simplifying, comparing, and finding equivalent fractions, these worksheets are designed to cater to the specific needs of Year 6 students. Teachers can easily integrate these worksheets into their lesson plans, ensuring that their students have ample opportunities to practice and improve their understanding of fractions. By incorporating Equivalent Fractions worksheets for Year 6 into their curriculum, teachers can provide their students with the tools they need to succeed in math and beyond.

In addition to Equivalent Fractions worksheets for Year 6, teachers can also utilize Quizizz, an online platform that offers a wide range of interactive quizzes and learning resources. Quizizz allows teachers to create custom quizzes that align with their lesson plans, making it easy to assess student understanding and progress. With Quizizz, students can engage in friendly competition as they work through problems related to fractions and other mathematical concepts. This platform also offers a variety of other resources, such as flashcards and study guides, which can be used alongside worksheets to provide a comprehensive learning experience for Year 6 students. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and engaging learning environment that supports the development of essential math skills.

Trending Post : Teaching Fractions with Food

10 Fun and Exciting Ways to Teach Equivalent Fractions | Activities and PDFs | Answer Key

Table of Contents

Teaching Equivalent Fractions

Fractions! For some of our kiddos, the term ‘equivalent fractions’ makes them quiver in their sneakers and want to barf all over the desk. It doesn’t have to be that way though. There are many interactive, fun ways to learn and then practice fractions. I just had to put a list together just for equivalent fractions, including a hands on equivalent fractions activity.

There are many fun ways to teach equivalent fractions. This is a nice assortment of multisensory learning–including visual, verbal, tactile…and most of all, fun!

For each of the activities listed, I have started the description with a hyperlink so you can go learn more about that specific equivalent fraction activity. You can download all of the printables that are mine (the ones that have pictures) in one place with my Equivalent Fraction Activities Bundle.

This activity comes with an answer key. I kept them as separate PDFs.

And here is that answer key for the How to Teach Equivalent Fractions activity set.

Equivalent Fractions Activities

We all know that hands-on instruction is the way to go for teaching math concepts. Teaching the way to solve the problem has its place, but understanding why those steps works are just important. And these equivalent fraction activities will help you teach this concept.

Teaching Fractions with Food -Kids love food, and they understand food. When beginning your fraction unit why not pull out a Hershey bar or an orange? It is a great way to not only teach what a fraction is, but also to introduce an equivalent fraction by having them share the food. Start your equivalent fractions lesson with some fun and colorful food, and you’ll have their attention!

Interactive notebook for teaching equivalent fractions with models   -A simple way to have students use fractional models to figure out equivalent fractions. Students take a model given and divide it up into equal parts. By the time they have worked through the first model they have found four equivalent fractions.

Interactive notebook for teaching equivalent fractions with number lines. -This is very similar to the first interactive notebook, but this time instead of fractional models you get number lines. I love giving children as many ways to see a concept as I can. You never know which way will make the lightbulb go on or prompt that “a-ha!” moment that is so fun to witness as a teacher.

Learning Resources Magnetic Rainbow Fraction Tiles -Many students need to see many different representations of fractions and how they are equivalent. I love this activity and it makes a great Amazon Wish List item if you do that and share with parents. Using Fraction Tiles the students work to figure out which fractions are equivalent. This “lesson” does not involve a ton of direct instruction, but the children are learning through exploring with manipulatives and making observations. That is the best type of learning.

• These magnetic fraction strips make learning fractions is easier with visual, hands-on magnetic aids
• This magnetic fraction set will Introduce fraction concepts, parts to whole, equivalents, and comparisons
• Magnetic fraction bars can be used at home or in the classroom and are easy to wipe clean
• 51-piece set includes color-coded, soft foam, magnetic tiles to depict wholes, halves, thirds, fourths, fifths, sixths, eighths, tenths, and twelfths
• Ideal for ages 6+

Fractions on a Number Line -Number lines are a great way to build fraction sense, and they are also a fun way to teach equivalent fraction. While they are creating their number lines they are working on what numerators are, what denominators are, finding the LCM, and so much more.

Pattern Blocks Task Cards -Pattern blocks are another great way to explore and learn about equivalent fractions. These task cards are a great place to go after children have a basic understanding of equivalent fractions. They will definitely get your kiddos thinking and problem-solving, and quickly reveal any misconceptions.

Using visual models is a great way to build fraction sense, and helps children understand equivalent fractions better. This is a series that Math Geek Mama and I did together. It walks you through numerous ideas on helping children visualize fractions …not just memorize how to solve a problem.

Practicing Equivalent Fractions

After you have spent some time teaching, now students are ready to play or practice their new found knowledge. To reinforce what they have learned, try out some of these activities.

Fraction Dominoes -These fraction dominoes have fractions, models, and number lines. Children can play a card by matching up two equivalent fractions, a fraction and model, a model and number line, etc. You can even get some fraction adding by having the children add up all the fractions left in their hand when another player goes out. The person with the highest sum loses.

Oh No, Fraction Man -This game is similar to Old Maid, but instead of an Old Maid you have a fraction man. All the children have to do is pull cards from another player’s hand. If they have a match to the card they pulled they may lay it down in front of them. The game ends when all matches have been made and one person is left with the fraction man. The cards have fractions, fractional models, and number lines on them.

Clip Cards – Instead of pulling out a worksheet to assess students knowledge, gather them around you and have them solve the problems by placing clips on the equivalent fraction. Many of the clip cards have two or three correct answers. This forces the children to really analyze the card before saying they have completed it.

Tic-Tac-Toe with Fractions -This game is very similar to Tic-Tac-Toe, just with a twist. The children must find the equivalent fraction to whatever space they want to cover up. If they choose the wrong fraction, they have to cover up the space that equals that fraction. Since the game of Tic-Tac-Toe leaves little room for mistakes, a wrong move can end the game. You can play with models, number lines, or both.

Fishing For Equivalent Fractions -This game is similar to Go Fish – and children will love their quest to find pairs that are equivalent.

Simplifying Fractions – This is a BINGO game that focuses on simplifying fractions, and we know how much our kiddos enjoy doing that. Simplifying Fractions is a wonderful way to practice equivalent fractions, and who doesn’t love a simple BINGO game.

Digital Equivalent Fractions -These digital equivalent fraction activities are a great way to get some practice in, especially if you are virtual.

Ooops! What kind of math teacher am I? I said 10 activities, but this is more than 10. I assure you that I can count. But when it comes to fun activities, sometimes I get carried away.

I hope you enjoy these equivalent fraction activities . There are so many fun ways to teach equivalent fractions and get your children engaged as they dive into this concept.

You’ve Got This!

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Equivalent Fractions Worksheets

Every nook and cranny of our pdf equivalent fractions worksheets is stuffed with practice that helps children ease into fractions equivalence! As concepts like operations with fractions and comparing or ordering them are all built around equivalence of fractions, a deeper insight into the topic will alleviate the learning stress of students in grade 3, grade 4, and grade 5. The printable resources include determining whether a fraction is equivalent or not, identifying equivalent fractions, generating equivalent fractions, and answering Who-Am-I riddles and patterns. Try some of our free equivalent fraction worksheets now!

» Equivalent Fractions on a Number Line

» Equivalent Fractions | Visual Models

Equivalent or Not Equivalent?

Is 4/6 equivalent to 2/3? Yes, it is. Find similar pairs of fractions in these pdf worksheets on equivalent fractions, ascertain whether they are equivalent or not, and write a '=' or '≠' symbol in between accordingly.

• Download the set

Finding Equivalent Fractions Step-by-Step

Are your 3rd grade and 4th grade children aware of the steps in finding an equivalent fraction? Let them know that both multiplication and division are the bread and butter of equivalent fractions.

Missing Parts of Fractions | Standard

Missing here is either the numerator or denominator of a fraction, equivalent to another. Find out the factor that makes it equivalent to the given fraction, and fill in the missing part.

Missing Parts of Fractions | Variables

A variable is given in place of the missing parts of an equivalent-fraction sentence. There's a shortcut to solving these problems. All you need to do is cross-multiply the fractions and find the missing value.

Missing Parts of Multiple Equivalent Fractions

Pound it into 4th grade and 5th grade students' heads that a fraction can have an infinite number of equivalent fractions, and task them with finding the missing parts of more than five equivalents for a fraction.

Identifying and Generating Equivalent Fractions

Scoop up our printable equivalent fractions worksheets, ideal for grade 3 and grade 4, with practice exercises on identifying equivalent fractions in part A and generating three equivalents for a fraction in part B.

Get children excitedly enthusing over this set of riddles! Pore over the sentences, frame the equivalent-fraction statement, and figure out the fraction that replaces "I" in each and every riddle.

Circling the Equivalent Fractions

Buff up your practice with our pdf equivalent fractions worksheets, which require grade 4 and grade 5 children to circle three to four fractions out of a set of five that are equivalent to a given fraction.

Equivalent Fractions Patterns

As fun and frolic as they are, patterns are not fully devoid of challenge! Seize this compilation of printable worksheets, analyze the patterns the fractions follow, and fill in the blanks with the appropriate fraction.

Equivalent Fractions on a Number Line

Did you know that equivalent fractions represent the same point on a number line? Work out our printable worksheets and learn such intriguing facts by plotting equivalent fractions on number lines.

(15 Worksheets)

Equivalent Fractions - Visual Models

Jam-packed with visual models like fraction pies, pizzas, 2d shapes split equally, area models, and tape diagrams, this pdf practice set will help children chase away all their doubts in fraction equivalence.

(68 Worksheets)

Related Worksheets

» Adding Fractions

» Subtracting Fractions

» Simplifying Fractions

» Estimating Fractions

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Equivalent Fractions

Test pupils understanding of Fractions using our Equivalent Fraction worksheets. Once pupils have proven they can Find Fractions test their understanding by getting them to identify fractions which are equal.

Once pupils have proven they can Find Fractions test their understanding by getting them to identify fractions which are equal.

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Fractions Worksheet + Answers (KS2 - Year 6)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

15 September 2021

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A double-sided PDF worksheet with questions and answers on Fractions. The worksheet has preparation questions for the student to complete before the topic is taught and topic questions to complete afterwards. Also included is a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for Year 6 Students . The download includes the Questions PDF and the Answers PDF.

Strands included :

5F2a recognise mixed numbers and improper fractions and convert from one form to the other; write mathematical statements >1 as a mixed number [e.g. 2/5 + 4/5 = 6/5 = 1 1/5 ] 5F3 compare and order fractions whose denominators are all multiples of the same number 5F4 add and subtract fractions with the same denominator and denominators that are multiples of the same number 5F5 multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams 6F2 use common factors to simplify fractions; use common multiples to express fractions in the same denomination 6F3 compare and order fractions, including fractions >1 6F4 add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions 6F5a multiply simple pairs of proper fractions, writing the answer in its simplest form [e.g. 1/4 × 1/2 = 1/8] 6F5b divide proper fractions by whole numbers [e.g. 1/ 3 ÷ 2 = 1/ 6]

Preparation Questions:

Circle improper fraction equivalent to mixed number Find fractions less than a fraction Add / Subtract Fractions: Subtract Fractions Where Second Denominator is First Multiplied By 2 Add / Subtract Fractions: Add Fractions Where Second Denominator is First Multiplied By 3 Multiply / Divide Fractions: Multiply Fraction And Large Whole Number Multiply / Divide Fractions: Find 1 And A Half Of Two Digit Odd Number Multiply / Divide Fractions: Multiply Simple Fractions And 100 Or 1000 Find 1 And Three Quarters Of Multiple Of Ten Find the length of a day on another planet

Topic Questions:

Fill in gaps to make equivalent fractions Order fractions with same and different denominators Add / Subtract Fractions: Add Fraction And Fraction With Numerators 2-4 and 1 And Different Denominators Add Mixed Number And Mixed Number With Numerators 1 And Similar Denominators Find remaining fraction of garden given two fractions with different denominators Find unshaded fraction in pie chart given two other fractions Find missing numbers in fraction sequence Multiply Fractions With Non-1 Numerators and Different Denominators Multiply / Divide Fractions: Divide Proper Fraction By Whole Number

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Fraction and Decimal Worksheets for Year 6 (age 10-11)

In Year 6 there is even more work on equivalent fractions and using common factors to simplify fractions, often called cancelling.

Perhaps the biggest step is that by the end of Year 6 children will be expected to add and subtract fractions with different denominators and mixed numbers. A really sound understanding of how to do this is needed and many children will find this very difficult. We have a vast selection of addition and subtraction of fractions worksheets, increasing in difficulty, to meet all the challenges set by the Programme of Study.

More is also expected with multiplying fractions using simple proper fractions (e.g. a quarter multiplied by a half is an eighth). Some children find it hard to grasp that when multiplying a whole number by a proper fraction the answer will be smaller than the starting number; very unlike their normal multiplying experience with whole numbers. Replace multiply with the term ‘lots of’ can help with this (e.g. two lots of four is eight; a quarter lot of four is one). We have some excellent sets of worksheets getting progressively harder on multiplying fractions. Answers are expected to be written in their simplest form.

Dividing fractions is also introduced, but only dividing proper fractions by whole numbers.

Once again children should be encouraged to associate a fraction with division as well as working with decimal fractions up to three decimal places (e.g. three eighths as 0.375). More work is also done on percentages, a favourite topic in the KS2 SATs.

An important part of all this work with decimals and fractions is that children should develop their skills of rounding and estimating as a way of predicting and checking that their answers are sensible.

Whilst the Key Stage 2 SAT Papers are in May this leaves quite a short year to fit in all that is needed to be successful.

Understanding and ordering fractions

Understand equivalent fractions, compare and order fractions.

Finding fractions of numbers. Some of these only require one step to reach the answer. Others require two steps.

Lecnac is the opposite to cancel? There's no other word for it!

More revision on equivalence.

Using bar models to help clarify fraction word problems.

Today we are going to look at equivalent fractions. But first, what do we mean by equivalent fractions?

More on equivalent fractions and simplifying fractions.

Using knowledge of equivalence to complete the fractions.

Finding a fraction between two other fractions shows a really good understanding of equivalence.

Today we are going to look at comparing fractions with different denominators.

Tricky ordering of fractions on a number line.

Ordering fractions with the help of a blank number line. Again, equivalent fractions need to be understood to successfully complete these pages.

Tricky ordering of fractions.

More ordering fractions.

Simplify fractions using the highest common factor.

Changing mixed numbers to improper fractions and vice versa. Cancelling fractions.

Fraction word problems. Don't forget fractions are really division calculations in disguise!

Addition and subtraction of fractions

Add and subtract fractions, including fractions with different denominators and mixed numbers.

Today we are going to look at adding fractions with different denominators.

Today we are going to look further at adding fractions with different denominators.

Add fractions with different denominators

Adding fractions which all have the same denominator.

Adding simple fractions with different denominators.

More addition of fractions with different denominators.

Adding mixed numbers where the denominators are the same.

Adding mixed numbers.

Today we are going to look at subtracting fractions with different denominators.

Today we are going to look further at subtracting fractions with different denominators.

Subtracting fractions from whole numbers.

A quick and easy way to subtract mixed numbers.

Subtracting mixed numbers; denominators the same.

Subtracting mixed numbers.

Subtracting fractions practice.

More on subtracting fractions.

Subtracting a fraction from a mixed number.

Multiplying and dividing fractions

Multiplying simple pairs of proper fractions and dividing proper fractions by whole numbers.

A look at what happens when two fractions are multiplied together.

An introduction to multiplying fractions by whole numbers.

Multiplying simple fractions.

Use bar models to illustrate how to multiply mixed numbers by a whole number.

Multiplying mixed numbers by a whole number.

A first look at dividing a fraction by a whole number.

A further look at dividing a fraction by a whole number.

Dividing simple fractions by a whole number.

Decimals and fractions

Decimal fractions and understanding the relationship between decimals and fractions

Working with numbers to three decimal places; recognising tenths, hundredths and thousandths.

A look at decimals and fractions using hundredths and thousandths.

Looking at place value with decimals up to thousandths.

Using place value charts and multiplying decimals by 10, 100 and 1000.

Dividing decimals by 10 and 100, working to 3 decimal places.

Write the fractions as decimals. Where necessary go to two decimal places.

Using a calculator, changing fractions to decimals, including looking at patterns such as ninths and sevenths.

More on converting fractions and mixed numbers to decimals.

More converting fractions to decimals.

Ordering decimal fractions. Sounds easy, but can be quite tricky.

Hints and tips on ordering decimals.

Some of these really are quite hard! Comparing fractions and decimal fractions.

Multiplying and dividing decimals

Multiplying and dividing decimals. More can be found in our Year 6 Multiplication and Division categories as well as KS2 SAT Booster pages.

Multiplying decimals up to 3 decimal places by 10, 100 and 1,000.

Multiplying decimals by a 1-digit whole number.

Word problems involving multiplying decimals.

Dividing decimals by 10, 100 or 1,000 by moving each digit to the right.

Use the long division method to divide decimals by 2-digit numbers.

Word problems involving division of decimals.

Rounding decimal fractions

Rounding fractions including rounding to the nearest tenth and hundredth.

Rounding decimals to the nearest whole one, including rounding to kilograms and kilometres.

Rounding decimals to the nearest tenth, including rounding metres and kilometres.

Rounding money to the nearest £1 and £10.

Rounding money to the nearest £1 and £10: harder examples.

Rounding decimals: tenths and hundredths.

Rounding decimals including the use of a calculator.

Percentages

Find percentages and solve problems involving the calculation of percentages.

Great set of questions using bar models to help understand percentages.

Using bar models to solve tricky percentage word problems.

Converting and ordering decimals, fractions and percentages.

Finding percentages of numbers and money. Word problems using percentages.

Word problems involving working out percentages.

Finding percentages of numbers.

More on finding percentages of whole numbers.

Harder percentage questions.

More tricky percentage questions.

Interpreting pie charts.

Further fraction work

More on fractions.

Using a calculator to decide the size of fractions and some more converting fractions to decimal fractions.

Using only the multiplication or division calculator keys change one decimal fraction to another.

The statutory requirements for Fractions in Year 6, including decimals and percentages.

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