Algebra Examples

$- \frac{2}{5} \div (- \frac{9}{4})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{2}{5} (- \frac{4}{9})$

Step 2

Multiply $- \frac{2}{5} (- \frac{4}{9})$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{2}{5}) \frac{4}{9}$

Step 2.2

Multiply $\frac{2}{5}$ by $1$ .

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

Step 2.3

Multiply $\frac{2}{5}$ by $\frac{4}{9}$ .

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

Step 2.4

Multiply $2$ by $4$ .

$\frac{8}{5 \cdot 9}$

Step 2.5

Multiply $5$ by $9$ .

$\frac{8}{45}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{45}$

Decimal Form:

$0.1\overline{7}$