# How do you simplify 10/13 div 5/4?

Jun 24, 2016

#### Answer:

$\frac{8}{13}$

#### Explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

So dividing by 2 is the same as $\times \frac{1}{2}$

Dividing by 3 is the same as $\times \frac{1}{3}$

10/13 ÷5/4 = 10/13 xx4/5 " cancel if possible"

${\cancel{10}}^{2} / 13 \times \frac{4}{\cancel{5}}$

=$\frac{8}{13}$