Equivalent Fractions Calculator

This equivalent fractions calculator finds fractions equivalent to the input you enter in it. Whether you want to calculate equivalent fractions to a whole number, proper, improper, or mixed fractions, the tool will function to find accurate values for you. 

You can get a comprehensive range of fractions (up to 100) that helps you to understand the same proportion of a whole as the given fraction.

What are Equivalent Fractions?

Equivalent fractions represent the same proportion of a whole.

Such fractions might have different numerators and denominators, but their values are the same as the original fraction.

As a fraction is a part of a whole. Its equivalent value will also show the same part of the whole.

Concepts Covered by Our Equivalent Fractions Calculator:

The equivalent fraction calculator functions on three basic concepts, including:

• Equivalence: The basic equivalence property in mathematics
• Equal Fractions: Utilization of GCD (Greatest Common Factor) to scale the numerator and the denominator of the original fraction and find equivalent values to it
• Fractions: Analyzing the given part of the whole ratio.

How to Do Equivalent Fractions?

To calculate equivalent fractions, you have to pick up any of the following methods:

Method # 01:

(Multiplication with the Same Number)

You may multiply the numerator and the denominator of the original fraction by the same number.

Method # 02:

(Divide by the Same Number)

To get a smaller (or reduced) form of an equivalent fraction, divide both the numbers of the given fraction by the same number.

Method # 03:

(GCD Method)

Determine the GCD of the numerator and the denominator of the given fraction and divide them by the same GCD.

This fraction might have new numbers, but its value will be the same with respect to the whole ratio.

Example:

Let’s say we have an improper fraction as 13/3! Its first five equivalent fractions can be determined as:

13/3 = 13/3 *1/1 = 13/3

13/3 = 13/3 *2/2 = 26/6

13/3 = 13/3 * 3/3 = 39/9

13/3 = 13/3 * 4/4 = 52/12

13/3 = 13/3 *5/5 = 65/15

Using our equivalent fractions calculator can generate up to 100 fractions that represent the same part of the whole as the original fraction.

How Do You Do Equivalent Fractions On a Calculator?

Using our equivalent fraction calculator is quite straightforward. Let’s find out how!

• Select whether you want to ‘find equivalent fractions’ or ‘check if two fractions are equal’
• After selection, add numerators, denominators, and whole numbers (in the case of mixed numbers)
• Click ‘calculate’ and get the results

Equivalent Fractions Chart: