Divide 5÷3 1/3

$5 \div 3 \frac{1}{3}$

Step 1

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

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

$5 \div (3 + \frac{1}{3})$

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

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

$5 \div (3 \cdot \frac{3}{3} + \frac{1}{3})$

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

$5 \div (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Combine the numerators over the common denominator.

$5 \div \frac{3 \cdot 3 + 1}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$5 \div \frac{9 + 1}{3}$

Add $9$ and $1$ .

$5 \div \frac{10}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$5 (\frac{3}{10})$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$5 \frac{3}{5 (2)}$

Cancel the common factor.

$5 \frac{3}{5 \cdot 2}$

Rewrite the expression.

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$