Basic Math Examples

$\frac{12}{25} \div \frac{8}{15}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{25} \cdot \frac{15}{8}$

Step 2

Cancel the common factor of

$4$ .

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Step 2.1

Factor

$4$ out of

$12$ .

$\frac{4 (3)}{25} \cdot \frac{15}{8}$

Step 2.2

Factor

$4$ out of

$8$ .

$\frac{4 \cdot 3}{25} \cdot \frac{15}{4 \cdot 2}$

Step 2.3

Cancel the common factor.

$\frac{4 \cdot 3}{25} \cdot \frac{15}{4 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{3}{25} \cdot \frac{15}{2}$

$\frac{3}{25} \cdot \frac{15}{2}$

Step 3

Cancel the common factor of

$5$ .

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Step 3.1

Factor

$5$ out of

$25$ .

$\frac{3}{5 (5)} \cdot \frac{15}{2}$

Step 3.2

Factor

$5$ out of

$15$ .

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

Step 3.3

Cancel the common factor.

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

Step 3.4

Rewrite the expression.

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

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

Step 4

Multiply

$\frac{3}{5}$ by

$\frac{3}{2}$ .

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

Step 5

Multiply.

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Step 5.1

Multiply

$3$ by

$3$ .

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

Step 5.2

Multiply

$5$ by

$2$ .

$\frac{9}{10}$

$\frac{9}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{10}$

Decimal Form:

$0.9$

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