**How To Find An Equivalent Fractions** – I’m going to tell you a secret that I’m ashamed of until now, and then I’ll lose all credibility and you’ll probably unsubscribe from this blog forever.

A math coach and math interventionist helping 4th grade kids with near-failing grades understand math?!

## How To Find An Equivalent Fractions

It’s no secret that math in the US has always been about memorizing procedures and algorithms until the last few years. If you were really good at memorizing every possible math problem, this worked for you. It really worked for me, I got an A in math in 4th grade. As a student, it was devastating for me when things went wrong. I went to one school in the 3rd grade, then in the 4th grade I moved to another school. As I was leaving, I missed something along the way about the transitions…but I didn’t know what it was at the time. Suddenly I was adding and subtracting fractions (I had never seen them written that way before) and it made no sense to me. I still remember thinking that I couldn’t believe I was bad at math, I was bad at fractions, when they sent me the assignments with red marks. The assignments (and tears) piled up and I got a “D”. shame

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

When I look back and think about what I was missing, it becomes clear to me. I never researched or even knew there was such a thing as a similar faction. I didn’t know that it wasn’t a whole number for something and that two fractions could be the same number. How can two numbers be the same? 7 c 7…21 21 c. How can 1/2 be a number equal to 4/8?

So when I teamed up with a 4th grade teacher at my school, we decided to spend a really long time on equalizing fractions. And we decided to make it as real-world as we could. So we gave an inquiry statement knowing they had some experience with equivalent fractions in 3rd grade… and told them they had to use tools to prove what they thought.

Then we let them loose with pictures of measuring cups and sand, fraction tiles, fraction towers, sticks, pie charts and asked them to see what they saw.

#### Fractions Review & Equivalent Fractions

It was actually kind of awesome. As we walked around, we asked them what they noticed about the numbers. Without saying a word, they began to understand the relationship between the two numbers!

We talked about which is equal and which is not equal. We added a little more to the chart and figured out how we can actually use multiplication or division to decide equality if we can’t.

There were definitely some misconceptions in the room when we were working. They were recorded and then cleaned up after we continued with the rest of the unit during the week. I will share more tutorials soon. Fractions are one of the most important foundational topics in mathematics, and students need to understand how to perform operations on fractions, such as adding and subtracting fractions and multiplying fractions. However, before students can understand fractions at an advanced level, it is important that they have a strong understanding of equivalent fractions.

### How To Make Teaching Equivalent Fractions A Success

In real life, we often deal with different values that can be considered equal or equivalent to each other. For example, we know that 60 minutes equals 1 hour, and we know that 16 ounces equals one pound. In each case we express the same time or weight in two different ways that are interchangeable.

The idea of expressing two equal values in different ways is similar in mathematics when it comes to equivalent fractions.

This Complete Guide to Equivalent Fractions will provide step-by-step instructions on how to understand and find equivalent fractions.

## Equivalent Fractions On Number Lines (video)

The reason they are equivalent fractions is that when you multiply (A) or divide (B) the numerator (above) and denominator (below) of each fraction by the same number, the fraction does not change. (If this idea is hard to grasp, the pictures below will help!)

You can also use a fraction table as a visual aid to help you understand and identify equivalent fractions.

To find equivalent fractions by division, follow the same steps as for multiplication, but remember the following key points:

## Equivalent Fractions: Definition And Worksheet For Ncert Class 7

If you’re not sure if two fractions are equal, there’s a handy multiplication shortcut you can use as a test.

To find the cross product of two fractions, multiply the upper part of the first fraction by the lower part of the second fraction and the lower part of the first fraction by the upper part of the second fraction.

To see if 4/5 and 12/15 are equal, start by finding the cross products.

#### Finding Equivalent Fractions Of A Fraction

Again, multiply the top of the first fraction below the second, and the bottom of the first by the top of the second as follows:

Therefore, we can conclude that 4/5 and 12/15 are equal fractions because their cross products are the same.

As in the last example, you can check if two fractions are equal:

#### Finding Equivalent Fractions Differentiated Worksheet

Therefore, we can conclude that 4/7 and 6/12 are not even fractions because their cross products are not the same.

To learn more about equivalent fractions and ratios and for more free practice problems, watch the video lesson below: We use cookies to make things better. By using our site, you agree to our cookie policy. Cookie settings

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

### Find The Equivalent Fractions Worksheets

This article has 7 references at the bottom of the page.

Two fractions are equal if they have the same value. Knowing how to convert a fraction to an equivalent is an essential math skill for everything from basic algebra to advanced calculus. This article will cover a variety of methods for calculating 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 LA Math Tuition, 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, including SAT, ACT, ISEE, and more. provides college admissions counseling and test preparation for After receiving a perfect 800 math score and a 690 English score on the SAT, David was awarded a Dickinson Scholarship from the University of Miami, where he earned a bachelor’s degree in business administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been read 346,952 times.

### Visual Equivalent Fractions Game Printable {free}

To find equivalent fractions, multiply or divide the numerator and denominator by any number while the top and bottom are the same. If you divide an original fraction, the numerator and divisor must be whole numbers for the result to be valid. Use cross multiplication to check the result. Multiply the denominator of the first fraction by the numerator of the second fraction, then multiply the first fraction by the second fraction. If 2 answers are equal, the fractions are equal. If you need to learn how to solve for variables in your fractions, keep reading! Do you teach equivalent fractions? Want to make equal parts teaching a success for your students this year?

This concept can be difficult for children. Below I want to show how I teach equivalent fractions to my 3rd graders.

Don’t forget to read all the way down to get the Equivalent Fractions Activity – it’s a color-by-number fractions worksheet PDF!

### What Are Equivalent Fractions? Explained For Primary School

If you’re teaching equivalent fractions and want to save precious prep time, I have two different resources you’ll love.

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

I like to use Google Classroom resources as math centers. Not at all