Divide (9/10)÷(3/5)

$\frac{9}{10} \div \frac{3}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{10} \cdot \frac{5}{3}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{3 (3)}{10} \cdot \frac{5}{3}$

Cancel the common factor.

$\frac{3 \cdot 3}{10} \cdot \frac{5}{3}$

Rewrite the expression.

$\frac{3}{10} \cdot 5$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$