Basic Math Examples

\frac{2}{5} \div 30

$\frac{2}{5} \div 30$

Step 1

Rewrite the division as a fraction.

\frac{\frac{2}{5}}{30}

$\frac{\frac{2}{5}}{30}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

\frac{2}{5} \cdot \frac{1}{30}

$\frac{2}{5} \cdot \frac{1}{30}$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

30

$30$ .

\frac{2}{5} \cdot \frac{1}{2 (15)}

$\frac{2}{5} \cdot \frac{1}{2 (15)}$

Step 3.2

Cancel the common factor.

\frac{2}{5} \cdot \frac{1}{2 \cdot 15}

$\frac{2}{5} \cdot \frac{1}{2 \cdot 15}$

Step 3.3

Rewrite the expression.

\frac{1}{5} \cdot \frac{1}{15}

$\frac{1}{5} \cdot \frac{1}{15}$

\frac{1}{5} \cdot \frac{1}{15}

$\frac{1}{5} \cdot \frac{1}{15}$

Step 4

Multiply

\frac{1}{5}

$\frac{1}{5}$ by

\frac{1}{15}

$\frac{1}{15}$ .

\frac{1}{5 \cdot 15}

$\frac{1}{5 \cdot 15}$

Step 5

Multiply

5

$5$ by

15

$15$ .

\frac{1}{75}

$\frac{1}{75}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{1}{75}

$\frac{1}{75}$

Decimal Form:

0.01\overline{3}

$0.01\overline{3}$