# What is a fraction that is equivalent to 3/8?

Jan 28, 2017

A fraction that is equivalent to $\frac{3}{8}$ is $\frac{6}{16}$.

#### Explanation:

To determine a fraction that is equivalent to $\frac{3}{8}$, multiply by a fraction equivalent to $1$

A fraction equivalent to $1$ is a fraction such as $\frac{2}{2}$ and $\frac{3}{3}$. Multiplying by these is the same as multiplying by $1$, so the ratio does not change.

One example is to multiply $\frac{3}{8}$ by $\textcolor{red}{\frac{2}{2}}$.

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

$\frac{3}{8}$ and $\frac{6}{16}$ have the same ratio, $3 : 8$.

If you divide each numerator by each denominator, the result will also be the same.

$3 \div 8 = 0.375$

$6 \div 16 = 0.375$

You can do this with any equivalent fraction, even $\frac{100}{100}$ and higher!

Other equivalent fractions to $\frac{3}{8}$ are:

$\frac{9}{24} , \text{ "12/32," "24/64," "60/160," } \frac{63}{168}$