Divide (3/9)÷(3/6)

$\frac{3}{9} \div \frac{3}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{9} \cdot \frac{6}{3}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{9} \cdot \frac{6}{3}$

Rewrite the expression.

$\frac{1}{9} \cdot 6$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{1}{3 (3)} \cdot 6$

Factor $3$ out of $6$ .

$\frac{1}{3 \cdot 3} \cdot (3 \cdot 2)$

Cancel the common factor.

$\frac{1}{3 \cdot 3} \cdot (3 \cdot 2)$

Rewrite the expression.

$\frac{1}{3} \cdot 2$

Step 4

Combine $\frac{1}{3}$ and $2$ .

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$