Divide 9 1/3÷7

$9 \frac{1}{3} \div 7$

Step 1

Convert $9 \frac{1}{3}$ to an improper fraction.

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

$(9 + \frac{1}{3}) \div 7$

Add $9$ and $\frac{1}{3}$ .

To write $9$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(9 \cdot \frac{3}{3} + \frac{1}{3}) \div 7$

Combine $9$ and $\frac{3}{3}$ .

$(\frac{9 \cdot 3}{3} + \frac{1}{3}) \div 7$

Combine the numerators over the common denominator.

$\frac{9 \cdot 3 + 1}{3} \div 7$

Simplify the numerator.

Multiply $9$ by $3$ .

$\frac{27 + 1}{3} \div 7$

Add $27$ and $1$ .

$\frac{28}{3} \div 7$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{28}{3}}{7}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{28}{3} \cdot \frac{1}{7}$

Step 4

Cancel the common factor of $7$ .

Factor $7$ out of $28$ .

$\frac{7 (4)}{3} \cdot \frac{1}{7}$

Cancel the common factor.

$\frac{7 \cdot 4}{3} \cdot \frac{1}{7}$

Rewrite the expression.

$\frac{4}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$