# How do you simplify 2/3 div 5/12?

Apr 4, 2018

$\frac{8}{5}$

#### Explanation:

$\frac{2}{3} \div \frac{5}{12}$

Dividing something is the same as multiplying it by its reciprocal. That means instead of doing $\div \frac{5}{12}$ we can rewrite it as $\cdot \frac{12}{5}$

$\frac{2}{3} \cdot \frac{12}{5}$

$\frac{2}{\cancel{3} 1} \cdot \frac{\cancel{12} 4}{5}$

$\frac{8}{5}$

Hope this helps!

Apr 4, 2018

$1 \frac{3}{5}$

#### Explanation:

$\frac{2}{3} \div \frac{5}{12}$
Substitute the $\div$ sign by $\times$ sign and reverse the fraction (reciprocal)
$\frac{2}{3} \times \frac{12}{5}$
$\frac{2}{\cancel{3}} \times \frac{4 \cancel{12}}{5}$
$\frac{8}{5}$
$\Rightarrow 1 \frac{3}{5}$

Hope this helps :)