# Does 32/7 have an equivalent fraction with a denominator or 42? If so, what is it?

##### 1 Answer
May 1, 2016

$\frac{32}{7} = \textcolor{b l u e}{\frac{192}{42}}$

#### Explanation:

Since $7$ divides evenly into $42$ as
color(white)("XXX")42div7=6 " Remainder:"0

$\textcolor{w h i t e}{\text{XXX}} 7 \times 6 = 42$

and therefore
$\textcolor{w h i t e}{\text{XXX}} \frac{32}{7} \times \frac{6}{6} = \frac{32 \times 6}{7 \times 6} = \frac{192}{42}$