# Equivalent Fractions Calculator

## What Are Equivalent Fractions?

There are many ways to write the same fraction. If fractions have the same value, they are called

**Equivalent Fractions**. For example the following are equivalent fractions:

^{1}/

_{3},

^{3}/

_{9}, and

^{-2}/

_{-6}. More facts about this type of fraction:

- A fraction is in the lowest terms, if the numerator and denominator
have no common factors. An example of this case:
^{1}/_{2}is stated in the lowest terms but the equivalent fraction^{5}/_{10}is not because the common factor of 5 and 10 is 5.

- To reduce a fraction to its lowest terms, both the numerator
and denominator must be divided by their Greatest Common Factor; if they do not
have a common divisor, the fraction is already in its lowest terms. Let's look at
the fraction
^{5}/_{10}. Can this fraction be reduced to lower possible terms (numerator and denominator)? The answer is yes. First we determine the Greatest Common Factor (GCF). The GCF is 5. The number 5 divides evenly into the numerator 5 ÷ 5 = 1. It divides evenly into the denominator 10 ÷ 5 = 2. Therefore the lowest terms of fraction^{5}/_{10}is^{1}/_{2}.

- Any Integer Number is an equivalent fraction
^{(Integer Number)}/_{1}.

Please Read! These are instructions to input fractions into the calculator to it's equivalent value: An fraction can be typed in this formatted. Example: 99/33, 6/3, etc.