Algebra Examples

$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{4}{3}) (\frac{2}{5}) \frac{2}{3}$

Step 2

Multiply $(\frac{4}{3}) (\frac{2}{5})$ .

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Step 2.1

Multiply $\frac{4}{3}$ by $\frac{2}{5}$ .

$\frac{4 \cdot 2}{3 \cdot 5} \cdot \frac{2}{3}$

Step 2.2

Multiply $4$ by $2$ .

$\frac{8}{3 \cdot 5} \cdot \frac{2}{3}$

Step 2.3

Multiply $3$ by $5$ .

$\frac{8}{15} \cdot \frac{2}{3}$

$\frac{8}{15} \cdot \frac{2}{3}$

Step 3

Multiply $\frac{8}{15} \cdot \frac{2}{3}$ .

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Step 3.1

Multiply $\frac{8}{15}$ by $\frac{2}{3}$ .

$\frac{8 \cdot 2}{15 \cdot 3}$

Step 3.2

Multiply $8$ by $2$ .

$\frac{16}{15 \cdot 3}$

Step 3.3

Multiply $15$ by $3$ .

$\frac{16}{45}$

$\frac{16}{45}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{45}$

Decimal Form:

$0.3\overline{5}$

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