Basic Math Examples

\frac{2}{10} \div \frac{4}{5}

$\frac{2}{10} \div \frac{4}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{2}{10} \cdot \frac{5}{4}

$\frac{2}{10} \cdot \frac{5}{4}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{2}{10} \cdot \frac{5}{2 (2)}

$\frac{2}{10} \cdot \frac{5}{2 (2)}$

Step 2.2

Cancel the common factor.

$\frac{2}{10} \cdot \frac{5}{2 \cdot 2}$

Step 2.3

Rewrite the expression.

$\frac{1}{10} \cdot \frac{5}{2}$

$\frac{1}{10} \cdot \frac{5}{2}$

Step 3

Cancel the common factor of

$5$ .

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Step 3.1

Factor

$5$ out of

$10$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

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

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

Step 4

Multiply

$\frac{1}{2}$ by

$\frac{1}{2}$ .

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

Step 5

Multiply

$2$ by

$2$ .

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

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