Basic Math Examples

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

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

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

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

9

$9$ .

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of

$2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$