# How do you divide \frac { 6} { 13} \div \frac { 8} { 9}?

Dec 2, 2016

$\frac{27}{52}$

#### Explanation:

The method for $\textcolor{b l u e}{\text{division of fractions}}$ is.

•" Leave the first fraction"

•" Change division to multiplication"

•" Invert (turn upside down) the second fraction"

•" Cancel factors between numerator/denominator if poss."

rArr6/13÷8/9

$= \frac{6}{13} \times \frac{9}{8} \leftarrow \text{ multiply and invert}$

$= {\cancel{6}}^{3} / 13 \times \frac{9}{\cancel{8}} ^ 4 \leftarrow \text{ cancelling}$

$= \frac{3 \times 9}{13 \times 4} = \frac{27}{52} \leftarrow \text{ in simplest form}$

A fraction is in $\textcolor{b l u e}{\text{simplest form}}$ when no other factor, apart from 1 will divide into the numerator/denominator.