Divide (4/3)÷(2/5)

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Combine $\frac{2}{3}$ and $5$ .

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

Step 4

Multiply $2$ by $5$ .

$\frac{10}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{3}$

Decimal Form:

$3.\overline{3}$

Mixed Number Form:

$3 \frac{1}{3}$