# How To Create Equivalent Fractions

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This article was co-authored by David Jia. David Jia is an academic educator and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as providing advice on college admissions and test preparation for the SAT, ACT, ISEE and more. After receiving a perfect score of 800 in math and a score of 690 in English on the SAT, David was awarded the Dickinson Scholarship at the University of Miami, where he graduated with a degree in Business Administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas for Learning, and Big Ideas for Math.

## How To Create Equivalent Fractions

There are 7 references in this article, which can be found at the bottom of the page.

#### Ways To Do Fractions

Two fractions are equivalent if they have the same value. Knowing how to convert a fraction to its equivalent is an essential math skill required for everything from basic algebra to advanced calculus. This article will cover several ways to calculate equivalent fractions from basic multiplication and division to more complex methods of solving equivalent fraction equations.

To find equivalent fractions, multiply or divide the numerator and denominator of each number, if the top and bottom are the same. If you divide the original fraction, the result must have digits in the numerator and denominator to be valid. To check the result, use multiplication. Multiply the denominator of the first fraction by the numerator of the second denominator, then multiply the first number by the second denominator. If the 2 answers are the same, the fractions are the same. If you need to learn how to solve your fraction variables, keep reading the article! Equivalent fractions are very common in KS2 maths, and children, parents, and even some primary school teachers may be a little unsure of what they are and how to find them. This article aims to clarify a little.

## Printable Fraction Board Games For Equivalent Fractions

Equivalent fractions are two or more fractions that are all the same even though they have numbers and differences. For example, the fraction 1/2 is equivalent to (or similar to) 25/50 or 500/1000.

Remember, a fraction is part of a sum: the denominator (the bottom number) represents how many equal parts the whole is divided into; The number (top number) represents the number of those parts.

If the concept of equivalent fractions already sounds a bit confusing and you still don’t understand the difference between whole numbers, fractional denominators, and fractional numbers, you may want to return to our article on fractions for kids.

### Fractions Review & Equivalent Fractions

This breaks down the first steps in fractions that children in Key Stage 1 and Key Stage 2 should complete at school, along with clear examples of how to find the value of a fraction using practical, hands-on materials. mathematical equations, graphical examples and number lines; the difference between unit fractions and non-unit fractions; to proper and improper fractions.

It is written as a guide for children and parents to work together on clearly digestible sections.

Download free fraction comprehension and comparison worksheets for third year students, designed to help students independently apply what they have learned.

### Warm Up Create Equivalent Fractions For The Following Fractions.

Here are some examples of equivalent fractions that use the bar format and show the “parts” each numerator refers to as the “whole”, i.e. the denominator.

While 8/12 may seem like a different fraction, it is actually equal to 4/6 because eight out of 12 parts is equal to four out of six parts, as shown below:

The three fractions 2/3, 4/6 and 8/12 are shown below the fractions wall in order to clarify their equivalence.

## What Are Equivalent Fractions And Simplifying Fractions?

To calculate equivalent fractions, the numerator and denominator of the fraction must be multiplied by the same number. That means you’re multiplying by 1 and we know that multiplying by 1 doesn’t change the original number, so the fraction will be the same.

Another way to find equivalent fractions is to divide the same number into both the numerator and denominator – this is called simplifying the fraction, because both the numerator and the denominator are getting smaller.

For example, to simplify the fraction 9/12, find a number that is divisible by the numerator and denominator (also known as the “common factor”), such as 3.

#### Teaching With Fraction Strips

9/12 ÷ 3/3 = 3/4, so 9/12 and 3/4 are equivalent fractions, with 3/4 being the fraction in simplest form.

The concept of equivalent fractions is not introduced until year 3, where children identify and show, using diagrams, equivalent fractions with smaller denominators.

In Year 4 they will identify and show, using diagrams, families of equivalent fractions. The National Curriculum also advises students to use factors and multiplication to identify equivalent fractions and simplify where appropriate (eg. 6/9 = 2/3 or ¼ = 2/ 8).

## Ways To Find Equivalent Fractions

In Year 5, students are taught to identify, name and write equivalent fractions of fractions, represented visually, including tenths and hundreds.

In Year 6 they will begin adding and subtracting fractions with different denominators and mixed numbers, using the concept of equivalent fractions. The non-conformist guide for Year 6 suggests that common issues can be related to finding equivalent fractions and that children practice calculating simple fractions … including lists of equivalent fractions to identify fractions with common denominators.

Children will need a deeper understanding of equivalent fractions in order to convert fractions, decimals and percentages. Knowledge of multiplication tables, the lowest multiple and the highest common factor are also important for equivalent fractions.

#### Comparing Fractions (hands On Practice W/ 17 Examples!)

Wondering how to explain other important math words to your kids? Check out our math dictionary or try these other words related to equivalent fractions:

(Answer: Yes – it becomes 2/6 (think also the middle square is divided in half) which = 1/3)

Equivalent fractions are fractions that may look different but actually represent the same number. 2/3 and 6/9 are examples of equivalent fractions.

#### Creating Equivalent Fractions (video)

Equivalent fractions can be defined as fractions with different numbers and values ​​but representing the same value.

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#### Find The Equivalent Fraction Of 35 Having A) Denominator 20 B) Numerator 9 C) Denominator 30 D) Numerator 27

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Sophie teaches mixed education at a small school in central England. She’s a self-confessed grammar educator and numbers geek, so we’ve welcomed her as a regular writer and editor for Third Place Learning.

New in 2022, we are offering all our pages and worksheets for KS1 and KS2 lessons at spot value (including teaching notes).

## Equivalent Fractions Interactive Activity For 6

All materials from Year 1 to Year 6 follow the master’s approach to teaching maths, similar to schemes such as White Rose Maths and Maths Mystery.