### Nrich equivalent fractions

Create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line. Modes Along the top, choose Square or Circle. In the panel along the right side, choose the Build Your Own option. Is it possible to create a fraction such that no equivalent fractions could be created with this applet? Join Now. View Cart. NCTM Store. Toggle navigation MENU. Log In Not a member?

Equivalent Fractions Grade: 3rd to 5th Create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line. Instructions Modes Along the top, choose Square or Circle. How to Use Use the sliders to increase or decrease the number of columns and rows for Squares or the number of sectors for Circles. Once the shape is divided as you want it, click on the sections to color them. Make the green and blue fractions equivalent to the red fraction.

Click on the Check buttons to see if your fractions match. Note that all fractions must use a different denominator. You will get a message that says, "Use a different denominator," if you make an equivalent fraction that does not use a different denominator. Equivalent Fractions will automatically be added to the table. To delete a row, use the Trash Can icon in the table. To erase all recordings, use the Reset Table button. Use the New Fraction button to generate a new red fraction.Fraction walls are a great way to teach about fractions and in particular equivalent fractions.

Equivalent fractions - Fractions - Pre-Algebra - Khan Academy

In a fraction wall each row or layer of the wall represents one whole number. The layers are divided into a number of bricks and hence each brick represents a fraction whose denominator is equal to the number of bricks in that layer.

Each brick can be turned on or off by clicking it. This wall also allows the display of decimal and percentage values.

To the right of the wall are boxes which can be hidden, the value of each box is fraction of the wall that has been turned on. When you launch this interactive teaching program the initial wall is a mixed one showing 3 distinct fraction families. Change the wall by using the mode control. The others split the wall along 2s, 3s or 5s. Use the display type control to display decimals rounded to 2dppercentages rounded to 1dpfractions or none. Normally when you click a brick to turn it on or off, only that brick is affected. However if you turn on the equivalent fraction function by clicking the 'Eq' toggle button. Now when a brick is clicked the other layers will turn on bricks if they can match an equivalent fraction. Note, this is not always possible, in fact if you select the primes wall it is never possible to show an equivalent fraction.

In this case all the other layers have bricks turned off. Also known as 'the lowest common multiple' or 'smallest common multiple' is crucial when adding, subtracting or comparing fractions. This button will calculate the LCM based on the rows that have active bricks. Pressing the LCM button will create a new wall that contains the originally selected fraction but also a new layer with the number of divisions equalling the least common multiple of the denominators of the other rows.

Sounds complicated, but it really just means that it is always possible to create an equivalent fraction in the LCM row from the other rows. To show or hide the advanced section click the advanced toggle button. When the advance controls are on, each layer of the wall has a dedicated slider, move this to change the number the number of bricks in that layer.

Closely related to this activity is the percentage fraction and decimals gridwhich can be used to display a square or circle fraction representation. Other activities that can be used to teach fractions are the clock activity which uses the clock face to show the fraction of minutes passed in an hour. The number explorer activity can show the fraction resulting from division of a number.By how much?

Can you explain how you worked this out? To get this, I first got how much one quarter was, than I multiplyed it by three. Yes, just multiply both the numerator and the denominator by the same number, and you will get an equivalent fraction. Fractional Wall Using the image above On Nrich website. Well, you can add that same number, over, and over again to get them.

## Broad topic: Fractions, Decimals, Percentages, Ratio and Proportion

Answers: 1. I just continuously multiplied by 2 6. The Second method is to multiply the two numbers by a number each time. Part 1: Fractions Made Faster Question 1 - Which is bigger, one third or two eighths, and by how much? Answer - 1 third is larger. It is larger by one twelfth or two twenty-fourths. Question 2 - Which is smaller, 5 sixth or 3 fourths, and by how much? Answer - 3 fourths are smaller. It is smaller by one twelfth or two twenty-fourths.

Question 3 - What is the difference between five sixths and one third? Answer - The difference is three sixths, or six twelfths, or twelve twenty-fourths. Question 4 - What is three quarters of two thirds? Answer - unsure.

### What are equivalent fractions and simplifying fractions?

Note that possibilities are endless. Yes,To find equivalent fractions you have to multiply the numerator and denominator by the same number. You can also go down. I then divided 8 by 4, and I got 2.Can you tell us what each of them will have? Which rod is twice the length of his first rod? Fraction Match Y3 A task which depends on members of the group noticing the needs of others and responding.

Chocolate Y4 There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time? Spiraling Decimals Y5 Take turns to place a decimal number on the spiral. Can you get three consecutive numbers? Collection Category: Mathematics. A large collection of activities and games aimed at primary children from early years through to the end of primary.

Category: Mathematics. Chocolate investigates the fraction of three bars of chocolate shared between different numbers of people. Patterns in decimals uses fraction to decimal conversions to compare fractions. This short film clip is designed to be shown in class to prompt discussion about fractions. When a customer orders a pizza she does not expect her friends to arrive at the restaurant and want to share it with her.

How should the waitress cut the pizza so everyone receives the same amount? The fractions featured in this lesson starter include thirds, fifths and sixths. Fractions out shopping. Aimed at older primary learners and early secondary these booklets contains a whole host of activities focusing on fractions, decimals and percentages. Many of the activities are suitable for whole class lessons and contain much scope for discussion. This selection of spreadsheets were designed by the Primary National Strategies to aid teaching and learning, tackles place value, rounding, estimation, fractions, percentages and decimals, in a variety of ways.

The fractions sheets include:.Here you will find a wide range of free Fraction Strips, which will help your child learn their Fraction facts. Using strips is a great way to learn your Fraction facts and help you to understand exactly how much fractions are worth.

They are also a great resource for equivalent fractions, and can show visually that a half is the same as two-fourths or three-sixths.

### Equivalent Fractions Game

All these free printable Fraction sheets will help your child learn their Fraction facts. Here you will find a selection of Fraction Strips designed to help your child understand their Fractions. Here you will find a selection of equivalent Fraction Strips designed to help your child learn their equivalent Fractions. The fraction strips cover different fractions equivalent to a half, thirds, fourths, and fifths.

All the free Fraction worksheets in this section support the Elementary Math Benchmarks.

Each card has a fraction in the middle and a range of different representations of the fractions around the outside. There are 3 versions of each card, one for display and two worksheets which test the children on their fraction knowledge. Here you will find a selection of Fraction Flash Cards designed to help your child learn their Fractions. Using Flash Cards is a great way to learn your Fraction facts as parts of a whole.

They can be taken on a journey, played with in a game, or used in a spare five minutes daily until your child knows their Fractions off by heart. All the printable Math facts in this section support the Elementary Math Benchmarks. Need help with printing or saving? Follow these 3 easy steps to get your worksheets printed out perfectly! Return to Fraction Worksheets. The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page. Math Salamanders Copyright Information. We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step! Take a look at all our latest resources!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child.When two fractions are equivalentthis means they are the same in terms of shape and sizebut are expressed using different numbers. For example, these fractions are exactly the same, but because the larger shape is split into a different number of segments in each case, the fraction is expressed in a different way:.

Children first learn about halving and quartering a shape in Key Stage 1. In Year 3 they are introduced to the concept of equivalencewhere they are shown different shapes like the ones above and asked to write them as fractions.

Children in Year 4 also start learning about decimals and need to know that 0. This can be demonstrated with the use of some blank hundred squares : In Year 5children are expected to find equivalent fractions without the use of diagrams. In Year 5, children would also need to order a set of fractions that had different denominators. For example:. One way of doing this would be to change all the denominators so that they were the same. This would mean multiplying the numerator and the denominator by the same number.

In Year 6children need to use their knowledge of equivalent fractions to simplify fractions. Simplifying a fraction means finding an equivalent fraction where the numbers are reduced as much as possible. Start your trial for FREE today! Access thousands of brilliant resources to help your child be the best they can be. We explain what equivalent fractions are, how the concept of equivalence is introduced in primary school maths and how knowledge of equivalent fractions is then used to simplify fractions.

Login or Register to add to your saved resources. What are equivalent fractions and simplifying fractions? For example, these fractions are exactly the same, but because the larger shape is split into a different number of segments in each case, the fraction is expressed in a different way: Fractions equivalency in KS1 and KS2 Children first learn about halving and quartering a shape in Key Stage 1.

The last fraction would stay the same. This would mean you could compare and order the five fractions. More like this. Equivalent fractions explained. Fractions equivalency wall. Best apps for learning about fractions. Fractions made simple. Teachers' tricks for fractions.

## Fractions, Decimals and Percentages

Equivalent fractions speed challenge. Equivalent fractions, decimals and percentages memory game. Matching equivalent fractions. Fractions Learning Journey.Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:. Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

It means half of something. They represent the same part of the whole. Multiply both the numerator and denominator of a fraction by the same whole number.

As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction. Basic Calculator. Equivalent Fractions Calculator. Find Fractions Equivalent to: enter one fraction or one mixed number. If you are looking for a specific numerator or denominator that is not shown here then try the Fractions Solve for Unknown X Calculator to find an equivalent fraction. 