# How do you simplify 2/3 div 1/2?

$\frac{2}{3} \div \frac{1}{2} = \frac{4}{3}$
When we divide a fraction say $\frac{a}{b}$ by another fraction say $\frac{c}{d}$.
this is equivalent to multiplying $\frac{a}{b}$ by multiplicative inverse of $\frac{c}{d}$ i.e. $\frac{d}{c}$
Hence $\frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times \frac{2}{1} = \frac{2 \times 2}{3 \times 1} = \frac{4}{3}$