Basic Math Examples

\frac{8}{9} \div \frac{10}{3}

$\frac{8}{9} \div \frac{10}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{8}{9} \cdot \frac{3}{10}

$\frac{8}{9} \cdot \frac{3}{10}$

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)}{9} \cdot \frac{3}{10}

$\frac{2 (4)}{9} \cdot \frac{3}{10}$

Step 2.2

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 4}{9} \cdot \frac{3}{2 \cdot 5}

$\frac{2 \cdot 4}{9} \cdot \frac{3}{2 \cdot 5}$

Step 2.3

Cancel the common factor.

$\frac{2 \cdot 4}{9} \cdot \frac{3}{2 \cdot 5}$

Step 2.4

Rewrite the expression.

$\frac{4}{9} \cdot \frac{3}{5}$

$\frac{4}{9} \cdot \frac{3}{5}$

Step 3

Cancel the common factor of

$3$ .

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Step 3.1

Factor

$3$ out of

$9$ .

$\frac{4}{3 (3)} \cdot \frac{3}{5}$

Step 3.2

Cancel the common factor.

$\frac{4}{3 \cdot 3} \cdot \frac{3}{5}$

Step 3.3

Rewrite the expression.

$\frac{4}{3} \cdot \frac{1}{5}$

$\frac{4}{3} \cdot \frac{1}{5}$

Step 4

Multiply

$\frac{4}{3}$ by

$\frac{1}{5}$ .

$\frac{4}{3 \cdot 5}$

Step 5

Multiply

$3$ by

$5$ .

$\frac{4}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{15}$

Decimal Form:

$0.2\overline{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$