# How can equivalent fractions be identified?

Mar 9, 2018

If you cross multiply you will get the same answer from equivalent fractions,

#### Explanation:

You can check in one step whether fractions are equivalent or not.

Consider $\frac{2}{3} \mathmr{and} \frac{8}{12}$

If they are equivalent fractions, when you cross multiply you will get the same product each time:

$\frac{\textcolor{b l u e}{2}}{\textcolor{red}{3}} \mathmr{and} \frac{\textcolor{red}{8}}{\textcolor{b l u e}{12}}$

$\textcolor{b l u e}{2 \times 12} \mathmr{and} \textcolor{red}{3 \times 8}$

$\textcolor{b l u e}{24} = \textcolor{red}{24}$

Therefore the fractions are equivalent.

Consider:

$\frac{5}{9} \mathmr{and} \frac{6}{11} \text{ } \leftarrow$ both are slightly more than $\frac{1}{2}$

$55 \ne 54$

The fractions are not equivalent.