# How do you multiply 4/3 div 1/2?

May 8, 2016

$\frac{4}{3} \div \frac{1}{2} = \frac{8}{3}$

#### Explanation:

Dividing by an expression is the same as multiplying by its reciprocal.

In the case of fractions, the reciprocal of a fraction is the same fraction with numerator and denominator swapped.

So we find:

$\frac{4}{3} \div \frac{1}{2} = \frac{4}{3} \cdot \frac{2}{1} = \frac{4 \cdot 2}{3 \cdot 1} = \frac{8}{3}$