# Top 10+ what is a equivalent fraction

Here are the best information about what is a equivalent fraction voted by readers and compiled and edited by our team, let’s find out

## What are Equivalent Fractions?

Fractions represent equal parts of a whole or a collection. A fraction has two parts. The number on the top of the line is called the numerator which tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator and it shows the total number of equal parts the whole is divided into or the total number of equal parts which are there in a collection.

## Definition of Equivalent Fractions

The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same fraction after we simplify them.

In the above image,

\$frac{1}{3}\$, \$frac{2}{6}\$, \$frac{3}{9}\$ and \$frac{4}{12}\$ seem to be different but they are equivalent fractions as on simplification, we get the fraction \$frac{1}{3}\$.

Let us consider this through an example:

Ann and Eden bought a cake. They decided to share the cake. Ann had \$frac{4}{8}\$ of the cake whereas Eden had \$frac{1}{2}\$ of the cake. Did they divide the cake equally?

Yes; they did. Two fractions might look different but, upon simplification, have the same mathematical value and hence \$frac{4}{8}\$ and \$frac{1}{2}\$ are called equivalent fractions.

Consider, for example, \$frac{5}{10}\$ and \$frac{2}{4}\$ . They also seem different, but when we simplify them; they present the same value i.e, \$frac{1}{2}\$.

## How to Check Whether the Fractions are Equivalent or Not?

There are different ways to check whether the fractions are equivalent or not:

• Make the denominators the same

We can check whether the fractions are equivalent or not by making the denominators the same i.e., by finding the LCM of the denominators and then multiplying them with suitable numbers.

For example: In order to check whether \$frac{2}{8}\$ and \$frac{3}{12}\$ are equivalent or not, we will find the LCM of 8 and 12.

Step 1: Find LCM of denominators

LCM(8, 12) = 24

Step 2: Multiply by suitable numbers to make denominator the same = 24

\$frac{2 times 3}{8 times 3}\$ = \$frac{6}{24}\$ and \$frac{3 times 2}{12 times 2}\$ = \$frac{6}{24}\$

Since both the fractions came out to be \$frac{6}{24}\$, so they are equivalent fractions.

• Finding the decimal form for both the fractions.

Decimal form of \$frac{2}{8}\$ is 0.25.

Decimal form of \$frac{3}{12}\$ is 0.25.

Since, the decimal form of both the fractions is 0.25, so they are equivalent fractions.

• Cross multiplication method

We will multiply the fractions. If the product comes out to be the same, the fractions are equivalent.

2 \$times\$ 12 = 24 8 \$times\$ 3 = 24

Since both the products are same, the fractions are equivalent.

• Visual Method

We can determine the equivalent fractions on identical shapes and check whether the shaded portions are equal or not.

In the above image, we see the shaded portions of both the circles depicts the same value. So, they are equivalent fractions.

## Finding an Equivalent Fraction

To find equivalent fractions, we multiply or divide both the numerator and the denominator by the same number. There are two ways in which we can make equivalent fractions:

• Multiply the numerator and denominator by the same number

We can multiply the numerator and the denominator by the same number in order to find the equivalent fractions.

For example: We have to find two equivalent fractions for \$frac{3}{8}\$.

Multiplying the numerator and denominator by 2.

\$frac{3 times 2}{8 times 2}\$ = \$frac{6}{16}\$

Multiplying the numerator and denominator by 3.

\$frac{3 times 3}{8 times 3}\$ = \$frac{9}{24}\$

The two equivalent fractions for \$frac{3}{8}\$ are \$frac{6}{16}\$ and \$frac{9}{24}\$.

• Divide the numerator and denominator by the same number.

We can divide the numerator and the denominator by the same number in order to find equivalent fractions.

For example: To find equivalent fractions for \$frac{70}{100}\$.

First find the common factors of 70 and 100.

The common factors of 70 and 100 are 2, 5 and 10.

Multiplying the numerator and denominator by 2.

\$frac{70 div 2}{100 div 2}\$ = \$frac{35}{50}\$

Multiplying the numerator and denominator by 5.

\$frac{70 div 5}{100 div 5}\$ = \$frac{14}{20}\$

Multiplying the numerator and denominator by 10.

\$frac{70 div 10}{100 div 10}\$ = \$frac{7}{10}\$

The equivalent fractions for \$frac{70}{100}\$ are \$frac{35}{50}\$ , \$frac{14}{20}\$, and \$frac{7}{10}\$.

## Solved Examples

1. Check if \$frac{3}{9}\$, \$frac{4}{12}\$ and \$frac{5}{15}\$ are equivalent fractions.

Upon simplifying \$frac{3}{9}\$, we get \$frac{1}{3}\$. Similarly, upon simplifying \$frac{4}{12}\$, we get \$frac{1}{3}\$. And, upon simplifying \$frac{5}{15}\$ we again get the same value, \$frac{1}{3}\$. As we get the same values after the simplification, these are equivalent fractions.

2. What will be the value of x if \$frac{2}{3}\$ = \$frac{x}{12}\$.

Since \$frac{2}{3}\$ = \$frac{x}{12}\$, it means we have multiplied the denominator by 4. So, we will multiply the numerator also by 4.

x = 2 \$times\$ 4 = 8

3. Find three equivalent fractions for \$frac{2}{3}\$.

Multiplying both numerator and denominator by 2, we get \$frac{2 times 2}{3 times 2}\$ = \$frac{4}{6}\$.

Multiplying both numerator and denominator by 3, we get \$frac{2 times 3}{3 times 3}\$ = \$frac{6}{9}\$.

Multiplying both numerator and denominator by 4, we get \$frac{2 times 4}{3 times 4}\$ = \$frac{8}{12}\$.

The three equivalent fractions for \$frac{2}{3}\$are \$frac{4}{6}\$, \$frac{6}{9}\$ and \$frac{8}{12}\$.

## Conclusion

Equivalent fractions have different face values, but upon simplifying them, they give the same numerical values. You can find these fractions by multiplying the denominator and numerator with the same number/value. Head to SplashLearn to learn about the equivalent fractions in a fun and easy way.

## Top 15 what is a equivalent fraction edit by Top Q&A

### What is 4/5 as an Equivalent Fraction

• Published Date: 10/15/2022
• Review: 4.88 (842 vote)
• Summary: Answer: Equivalent fractions are those with distinct numerators and denominators that add up to the same number. Equivalent fractions assert that two or …

### Equivalent Fractions – Primary Math – Smartick

• Author: smartick.com
• Published Date: 06/27/2022
• Review: 4.61 (473 vote)
• Summary: Two fractions are equivalent if they represent the same decimal number. For example, the three previous fractions represent the same decimal: …

### Equivalent Fractions – Kids Math – Ducksters

• Author: ducksters.com
• Published Date: 09/30/2022
• Review: 4.54 (260 vote)
• Summary: Kids learn about Equivalent Fractions including cross multiplication and the steps needed to compare fractions.

Top 10+ what to eat with braces

• Published Date: 11/28/2022
• Review: 4.13 (529 vote)
• Summary: Method: how to find an equivalent fraction over a given denominator · Step 1: look at the fraction we know and focus on its denominator. Find how much you would …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Equivalent Fractions – Math is Fun

• Author: mathsisfun.com
• Published Date: 08/18/2022
• Review: 3.88 (246 vote)
• Summary: Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: 1 2 = 2 4 = 4 8. Why are they the same?
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Equivalent Fractions Calculator

• Author: calculatorsoup.com
• Published Date: 07/09/2022
• Review: 3.76 (204 vote)
• Summary: Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Equivalent Fractions – Math: Basic Tutorials – The Learning Portal

• Author: tlp-lpa.ca
• Published Date: 09/28/2022
• Review: 3.39 (248 vote)
• Summary: Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

Top 15 what causes facial hair in women

### Equivalent Fraction — Definition & Examples – Expii

• Author: expii.com
• Published Date: 03/10/2022
• Review: 3.37 (429 vote)
• Summary: Equivalent fractions are fractions with different denominators that have the same meaning. Let’s look at a picture to understand this. A box split in half. Half …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Finding Equivalent Fractions Support Page

• Author: math-salamanders.com
• Published Date: 06/08/2022
• Review: 3.18 (566 vote)
• Summary: So what is an equivalent fraction? If two fractions are equivalent, it means that they are equal, or represent the same value. How do I find an equivalent …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### What are equivalent fractions and simplifying fractions?

• Author: theschoolrun.com
• Published Date: 07/25/2022
• Review: 2.93 (141 vote)
• Summary: When two fractions are equivalent, this means they are the same in terms of shape and size, but are expressed using different numbers.
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Equivalent Fraction Definition – iPracticeMath

• Author: ipracticemath.com
• Published Date: 04/28/2022
• Review: 2.7 (185 vote)
• Summary: Equivalent fractions are fractions that have the same value but have different numerators and denominators. Equivalent Fraction Examples. Example 1: Is 12 …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

Top 19 what time dies taco bell breakfast end

### Equivalent Fractions Calculator

• Author: omnicalculator.com
• Published Date: 03/01/2022
• Review: 2.74 (90 vote)
• Summary: The equivalent fraction definition tells us that any two fractions, A/B and C/D, are equivalent if they are equal to the same value. We can find …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### What are Equivalent Fractions? – Video & Lesson Transcript

• Author: study.com
• Published Date: 01/21/2023
• Review: 2.61 (139 vote)
• Summary: An equivalent fraction is a fraction that uses different numbers to show the same amount. For example, 1/3 is equivalent to 3/9. How do you find …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Equivalent fractions – Math.net

• Author: math.net
• Published Date: 01/27/2023
• Review: 2.42 (141 vote)
• Summary: Equivalent fractions are fractions that, although they have different digits in the numerator and denominator, represent the same value.
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### What are equivalent fractions? – BBC Bitesize

• Author: bbc.co.uk
• Published Date: 05/19/2022
• Review: 2.44 (78 vote)
• Summary: Sometimes fractions can be simplified into smaller ones. · These fractions are said to be equivalent. · You can multiply the numerator and denominator in the …
• Matching search results: The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same …

### Related Posts ## Top 10+ what is a clo

Below is a list of the best what is a clo voted by users and compiled by us, invite you to learn together ## Top 20+ what trimester is 27 weeks

Here are the top best what trimester is 27 weeks public topics compiled and compiled by our team ## Top 10+ what fish is dory

Below are the best information about what fish is dory voted by users and compiled by us, invite you to learn together ## List of 10+ what is a burnt offering

Below are the best information about what is a burnt offering voted by readers and compiled and edited by our team, let’s find out