Write the Fraction in Simplest Form (3 2/3)(3 1/3)

$(3 \frac{2}{3}) (3 \frac{1}{3})$

Convert $3 \frac{2}{3}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(3 + \frac{2}{3}) (3 \frac{1}{3})$

Add $3$ and $\frac{2}{3}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(3 \cdot \frac{3}{3} + \frac{2}{3}) (3 \frac{1}{3})$

Combine $3$ and $\frac{3}{3}$ .

$(\frac{3 \cdot 3}{3} + \frac{2}{3}) (3 \frac{1}{3})$

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 2}{3} (3 \frac{1}{3})$

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{9 + 2}{3} (3 \frac{1}{3})$

Add $9$ and $2$ .

$\frac{11}{3} (3 \frac{1}{3})$

Convert $3 \frac{1}{3}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{11}{3} (3 + \frac{1}{3})$

Add $3$ and $\frac{1}{3}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{11}{3} (3 \cdot \frac{3}{3} + \frac{1}{3})$

Combine $3$ and $\frac{3}{3}$ .

$\frac{11}{3} (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Combine the numerators over the common denominator.

$\frac{11}{3} \cdot \frac{3 \cdot 3 + 1}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{11}{3} \cdot \frac{9 + 1}{3}$

Add $9$ and $1$ .

$\frac{11}{3} \cdot \frac{10}{3}$

Multiply $\frac{11}{3} \cdot \frac{10}{3}$ .

Multiply $\frac{11}{3}$ by $\frac{10}{3}$ .

$\frac{11 \cdot 10}{3 \cdot 3}$

Multiply $11$ by $10$ .

$\frac{110}{3 \cdot 3}$

Multiply $3$ by $3$ .

$\frac{110}{9}$