# How do you simplify 5/9 div 2/7?

Jul 11, 2016

5/9÷2/7=35/18=1 17/18

#### Explanation:

Dividing by a fraction is equivalent to multiplicative inverse. As multiplicative inverse of $\frac{a}{b}$ is $\frac{b}{a}$, dividing by $\frac{2}{7}$ is equivalent to multiplying by $\frac{7}{2}$.

Hence, 5/9÷2/7

= 5/9×7/2=(5×7)/(9×2)

= $\frac{35}{18} = \frac{18 + 17}{18}$

= $\frac{18}{18} + \frac{17}{18}$

= $1 \frac{17}{18}$