# What is the quotient of 6/5 divided by 2/3?

Sep 15, 2015

$\textcolor{red}{\frac{\frac{6}{5}}{\frac{2}{3}} = \frac{9}{5}}$

#### Explanation:

$\frac{\frac{6}{5}}{\frac{2}{3}} = \text{?}$

Step 1. Multiply the numerator by the reciprocal of the denominator.

(6/5)/(2/3) = 6/5 × 3/2 = (6×3)/(5×2)

Step 2. Simplify by dividing top and bottom by the highest common factor ($2$).

(6×3)/(5×2) =(3×3)/(5×1)

$\frac{\frac{6}{5}}{\frac{2}{3}} = \frac{9}{5}$