Basic Math Examples

\frac{2}{5} \div \frac{4}{9}

$\frac{2}{5} \div \frac{4}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

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

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}{5} \cdot \frac{9}{2 (2)}

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\frac{1}{5} \cdot \frac{9}{2}$

Step 3

Multiply

$\frac{1}{5}$ by

$\frac{9}{2}$ .

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

Step 4

Multiply

$5$ by

$2$ .

$\frac{9}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{10}$

Decimal Form:

$0.9$