# Question #a1fc0

Oct 11, 2017

$\frac{7}{10}$

#### Explanation:

$\text{to simplify a fraction}$

$\textcolor{b l u e}{\text{cancel"" any"color(blue)" common factors}}$
$\text{on the numerator/denominator}$

$\text{ 3 is a common factor to both 21 and 30}$

$\Rightarrow \frac{21}{30}$

$= {\cancel{21}}^{7} / {\cancel{30}}^{10} \leftarrow \textcolor{red}{\text{ cancelling}}$

$= \frac{7}{10} \leftarrow \textcolor{red}{\text{ in simplest form}}$

A fraction is in simplest form when no other factor but 1 will divide into the numerator/denominator.