# Equivalent Fractions Calculator

## Calculator Use

Find equivalent fractions. Enter a fraction, mixed number or integer to get 20 fractions that are equivalent to your input. Example entries:

- Fraction - like 2/3 or 15/16
- Mixed number - like 1 1/2 or 4 5/6
- Integer - like 5 or 28

## What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers that represent the same part of a whole. They have different fraction numbers but the *fraction values* are equal.

Think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: \( \frac{1}{2} \) = \( \frac{6}{12} \) = \( \frac{50}{100} \)

## How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

### Example Equivalent Fractions

Find fractions equivalent to \( \frac{3}{4} \) by multiplying the numerator and denominator by the same whole number:

\[ \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} \] \[ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \] \[ \frac{3}{4} \times \frac{4}{4} = \frac{12}{16} \] \[ \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \] \[ \frac{3}{4} \times \frac{6}{6} = \frac{18}{24} \]Therefore these are all equivalent fractions:

\[ \frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{15}{20} = \frac{18}{24} \]Note that if you reduce all of these fractions to lowest terms, they equal \( \frac{3}{4} \).

For additional fraction help see our Fractions Calculator, Simplify Fractions Calculator and Mixed Numbers Calculator.

**Cite this content, page or calculator as:**

Furey, Edward "Equivalent Fractions Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.