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

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

Step 1

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{3}{4} \div \frac{9 + 1}{3}$

Add $9$ and $1$ .

$\frac{3}{4} \div \frac{10}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot \frac{3}{10}$

Step 3

Multiply $\frac{3}{4} \cdot \frac{3}{10}$ .

Multiply $\frac{3}{4}$ by $\frac{3}{10}$ .

$\frac{3 \cdot 3}{4 \cdot 10}$

Multiply $3$ by $3$ .

$\frac{9}{4 \cdot 10}$

Multiply $4$ by $10$ .

$\frac{9}{40}$