How do you find the quotient of 3/8 divided by 8/9?

Sep 26, 2015

The answer is $\frac{27}{64}$.

Explanation:

Dividing by a fraction means to multiply for the inverse of that fraction. In formulas, dividing by $\frac{a}{b}$ means tu multiply for $\frac{b}{a}$. In this case, thus,

$\frac{3}{8} : \frac{8}{9} = \frac{3}{8} \cdot \frac{9}{8}$

Since you multiply fractions by multiplying separately numerators and denominator, the final result is

$\frac{3}{8} \cdot \frac{9}{8} = \frac{3 \cdot 9}{8 \cdot 8} = \frac{27}{64}$