Find the Exact Value ((4/3)(2/5))÷(3/2)

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

To divide by a fraction, multiply by its reciprocal.

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

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

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

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

Multiply $4$ by $2$ .

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

Multiply $3$ by $5$ .

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

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

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

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

Multiply $8$ by $2$ .

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

Multiply $15$ by $3$ .

$\frac{16}{45}$

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{45}$

Decimal Form:

$0.3\overline{5}$