Divide (3/10)÷(2/4)

$\frac{3}{10} \div \frac{2}{4}$

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{10} \cdot \frac{4}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

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

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Multiply $3$ by $2$ .

$\frac{6}{5 \cdot 2}$

Multiply $5$ by $2$ .

$\frac{6}{10}$

Cancel the common factor of $6$ and $10$ .

Factor $2$ out of $6$ .

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

Cancel the common factors.

Factor $2$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{5}$

$\frac{3}{5}$

$\frac{3}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$

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