Write the Fraction in Simplest Form (2/3)÷3 1/4

$\frac{2}{3} \div 3 \frac{1}{4}$

Step 1

Convert $3 \frac{1}{4}$ to an improper fraction.

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

$\frac{2}{3} \div (3 + \frac{1}{4})$

Add $3$ and $\frac{1}{4}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{2}{3} \div (3 \cdot \frac{4}{4} + \frac{1}{4})$

Combine $3$ and $\frac{4}{4}$ .

$\frac{2}{3} \div (\frac{3 \cdot 4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$\frac{2}{3} \div \frac{3 \cdot 4 + 1}{4}$

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{2}{3} \div \frac{12 + 1}{4}$

Add $12$ and $1$ .

$\frac{2}{3} \div \frac{13}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{3} \cdot \frac{4}{13}$

Step 3

Multiply $\frac{2}{3} \cdot \frac{4}{13}$ .

Multiply $\frac{2}{3}$ by $\frac{4}{13}$ .

$\frac{2 \cdot 4}{3 \cdot 13}$

Multiply $2$ by $4$ .

$\frac{8}{3 \cdot 13}$

Multiply $3$ by $13$ .

$\frac{8}{39}$