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

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{3}{5}\div\frac{2}{3}=\frac{3}{5}\times\frac{3}{2}$.

Step2: Multiply numerators and denominators

Multiply the numerators $3\times3 = 9$ and the denominators $5\times2=10$. So $\frac{3}{5}\times\frac{3}{2}=\frac{9}{10}$.

Answer:

$\frac{9}{10}$