# How do you simplify 7/9 div 2/3?

Jul 4, 2016

Multiply by the reciprocal.

$\frac{7}{9} \cdot \frac{3}{2} = \frac{21}{18}$

Now simplify by dividing the numerator and denominator by the greatest common factor, $3$.

$\frac{21}{3} = 7$

$\frac{18}{3} = 6$

$\frac{7}{6}$