Question

find the quotient. $\frac{3}{5} div \frac{2}{3} = ?$

Explanation:

Step1: Rewrite division as multiplication

To divide by a fraction, multiply by its reciprocal:
$\frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2}$

Step2: Multiply numerators and denominators

Multiply the top terms together, and the bottom terms together:
$\frac{3 \times 3}{5 \times 2} = \frac{9}{10}$

Answer:

$\frac{9}{10}$