multiply. write the answer in simplest form.\n$\frac{5}{9}\times3\frac{3}{5}=square$

Explanation:

Step1: Convert mixed - number to improper fraction

First, convert $3\frac{3}{5}$ to an improper fraction. $3\frac{3}{5}=\frac{3\times5 + 3}{5}=\frac{15 + 3}{5}=\frac{18}{5}$.

Step2: Multiply the fractions

Multiply $\frac{5}{9}$ by $\frac{18}{5}$. $\frac{5}{9}\times\frac{18}{5}=\frac{5\times18}{9\times5}$.

Step3: Simplify the fraction

Cancel out the common factors. $\frac{5\times18}{9\times5}=\frac{18}{9}=2$.

Answer:

$2$