Divide (4/10)÷(1/3)

$\frac{4}{10} \div \frac{1}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{10} \cdot 3$

Step 2

Cancel the common factor of $4$ and $10$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{10} \cdot 3$

Cancel the common factors.

Factor $2$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

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

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

Multiply $2$ by $3$ .

$\frac{6}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$