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This article was co-authored by David Jia. David Jia is an academic tutor and founder of Los Angeles 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 college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After scoring a perfect 800 in math and a 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he earned a bachelor’s degree in business administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

## How To Make Equivalent Fractions

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

## Ex 7.3, 4

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

This article was co-authored by David Jia. David Jia is an academic tutor and founder of Los Angeles 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 college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After scoring a perfect 800 in math and a 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he earned a bachelor’s degree in business administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been viewed 350,132 times.

To find equivalent fractions, multiply or divide the numerator and denominator of a fraction by any number, as long as the top and bottom are the same. When you divide the original fraction, the result must have whole numbers in the numerator and denominator to be valid. To check the result, use cross multiplication. Multiply the denominator of the first fraction by the numerator of the second fraction, then multiply the first numerator by the second denominator. If the 2 answers are the same, the fractions are the same. If you need to learn how to solve for variables in your fraction, read on! We explain what equivalent fractions are, how the concept of equality is introduced in elementary school mathematics and how the knowledge of equivalent fractions is then used to simplify fractions.

## Best Equivalent Fractions Chart Printable

If two fractions are equal, it means they have the same shape and size, but are expressed using different numbers.

For example, these fractions are the same, but because the larger form is divided into a different number of parts in each case, the fraction is expressed differently:

In year 3 they are introduced to the concept of equivalence, where they are shown different shapes like the one above and are asked to write these fractions.

### Activities To Practice Equivalent Fractions In Third Grade

Children continue to practice equivalent fractions in Year 4 (such as 6/8 and 3/4 or 7/10 and 70/100) and are likely to need more diagrams to clarify them at this stage.

Children in the fourth year will also start learning about decimals and should know that 0.25 is equal to 1/4, 0.5 is equal to 1/2 and 0.75 is equal to 3/4. This can be shown using a few hundred square blanks:

In Year 5, children are expected to find equivalent fractions without using diagrams. At this stage they will learn that everything that is multiplied by the numerator by the denominator must also be multiplied by the same number, for example:

### Converting Between Fractions, Decimals And Percentages

Children in Year 5 also need to relate fractions to their decimal representations (for example, they need to know that 10/100 is 0.1 and 3/6 is equal to 0.5).

In Year 5, children should also order a set of fractions with different denominators. for example:

One way to do this is to change all the denominators to be equal. It means multiplying the numerator and denominator by the same number.

#### Equivalent Fractions Explained—definitions, Examples, Worksheets — Mashup Math

For example, if I’m given the fraction 6/48 and asked to simplify it, I can divide the numerator and denominator by 2 to make 3/24, I can divide both numbers by 3 to make 1/8. An easier way to simplify the original fraction is to divide both numbers by 6 to make 1/8.

Offers parents thousands of printable and interactive worksheets, covering every aspect of the core curriculum. It’s available to our subscribers but you can try some for free here:

In each interactive tutorial, our digital tutor explains the method, shows you examples and then gives you the opportunity to practice what you’ve learned. Learn more.

### Write Five Fraction Equivalent To The Following: 2/3

The tutorials are only available to subscribers but you can try for free: learn the 4 times table, long multiplication and finding multiples

If there is a specific area of learning your child needs support, our packages offer information, advice and

. Written by teachers and experts and available exclusively to subscribers, the learning packs (each 50+ pages long) are fun and full of practice.

#### For Equivalent Fractions The Fraction Notation Shows The Number Of…

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### Equivalent Fractions: Definition And Examples

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#### The Ultimate List Of Fraction Activities

Ready is the perfect app to encourage children to read more at home and on the go. Enter for a chance to win an annual subscription worth over £100 Do you teach equivalent fractions? Do you want to make teaching parallel fractions a success for your students this year?

This idea can be difficult for children. I want to show you below how I teach equivalent fractions to third graders.

Don’t forget to read to the end to get a free fractions activity worth it – this is a color-by-number fractions worksheet PDF!

#### Equivalent Fractions Calculator

I have two different resources that you’ll love if you teach equivalent fractions and want to save valuable prep time.

The interactive notebook is perfect for introducing concepts and keeping them in their math notebooks as reference guides.

I love using Google Classroom resources as math centers. It’s not full teacher prep – you just assign the students, and then they complete it on their own. This is great to use after the introductory class.

### The Significance Of Understanding Equivalent Fractions

Equivalent fractions are fractions that do not have the same numerator and denominator, but have the same value.

Think pie (delicious food always makes the slices better). Do you want to bring half the pie, or 3 out of a total of 6 slices of pie? It doesn’t matter – it’s the same! The numbers may be completely different, but the actual value is equal, or the same.

Want an easy introductory lesson? Use the above example I gave about pie. Create a quick t-chart and write down “1/2 of a pie” and “3/6 of a pie”. Give students a post-it note, and ask them to stick it to the side of the board for the creation they want. You’ll quickly have a few students staring at the board and telling you they can’t choose… because the two values are the same. Bingo!

#### Equivalent Fractions Diagrams: Foundation (year 4)

I want to break down the concepts your students need to know to fully understand equivalent fractions and what they are. if your students