Write the Fraction in Simplest Form (5/7)÷2 2/3

$\frac{5}{7} \div 2 \frac{2}{3}$

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

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

$\frac{5}{7} \div (2 + \frac{2}{3})$

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

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{7} \div (2 \cdot \frac{3}{3} + \frac{2}{3})$

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

$\frac{5}{7} \div (\frac{2 \cdot 3}{3} + \frac{2}{3})$

Combine the numerators over the common denominator.

$\frac{5}{7} \div \frac{2 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{5}{7} \div \frac{6 + 2}{3}$

Add $6$ and $2$ .

$\frac{5}{7} \div \frac{8}{3}$

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{7} \cdot \frac{3}{8}$

Multiply $\frac{5}{7} \cdot \frac{3}{8}$ .

Multiply $\frac{5}{7}$ by $\frac{3}{8}$ .

$\frac{5 \cdot 3}{7 \cdot 8}$

Multiply $5$ by $3$ .

$\frac{15}{7 \cdot 8}$

Multiply $7$ by $8$ .

$\frac{15}{56}$