Evaluate (-9/10)÷(-6/15)

$- \frac{9}{10} \div (- \frac{6}{15})$

To divide by a fraction, multiply by its reciprocal.

$- \frac{9}{10} (- \frac{15}{6})$

Cancel the common factor of $3$ .

Expand detailed answer...

Move the leading negative in $- \frac{9}{10}$ into the numerator.

$\frac{- 9}{10} (- \frac{15}{6})$

Move the leading negative in $- \frac{15}{6}$ into the numerator.

$\frac{- 9}{10} \cdot \frac{- 15}{6}$

Factor $3$ out of $- 9$ .

$\frac{3 (- 3)}{10} \cdot \frac{- 15}{6}$

Factor $3$ out of $6$ .

$\frac{3 \cdot - 3}{10} \cdot \frac{- 15}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot - 3}{10} \cdot \frac{- 15}{3 \cdot 2}$

Rewrite the expression.

$\frac{- 3}{10} \cdot \frac{- 15}{2}$

Cancel the common factor of $5$ .

Expand detailed answer...

Factor $5$ out of $10$ .

$\frac{- 3}{5 (2)} \cdot \frac{- 15}{2}$

Factor $5$ out of $- 15$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $\frac{- 3}{2}$ and $\frac{- 3}{2}$ .

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

Multiply.

Expand detailed answer...

Multiply $- 3$ by $- 3$ .

$\frac{9}{2 \cdot 2}$

Multiply $2$ by $2$ .

$\frac{9}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$