Basic Math Examples

\frac{8}{3} \div \frac{2}{9}

$\frac{8}{3} \div \frac{2}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{8}{3} \cdot \frac{9}{2}

$\frac{8}{3} \cdot \frac{9}{2}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 (4)}{3} \cdot \frac{9}{2}

$\frac{2 (4)}{3} \cdot \frac{9}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 \cdot 4}{3} \cdot \frac{9}{2}$

Step 2.3

Rewrite the expression.

$\frac{4}{3} \cdot 9$

Step 3

Cancel the common factor of

$3$ .

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Step 3.1

Factor

$3$ out of

$9$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$4 \cdot 3$

Step 4

Multiply

$4$ by

$3$ .

$12$