Evaluate (-9/10)/(-6/15)

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

Cancel the common factor of $6$ and $15$ .

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Factor $3$ out of $6$ .

$\frac{\frac{- 9}{10}}{- \frac{3 (2)}{15}}$

Cancel the common factors.

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Factor $3$ out of $15$ .

$\frac{\frac{- 9}{10}}{- \frac{3 \cdot 2}{3 \cdot 5}}$

Cancel the common factor.

$\frac{\frac{- 9}{10}}{- \frac{3 \cdot 2}{3 \cdot 5}}$

Rewrite the expression.

$\frac{\frac{- 9}{10}}{- \frac{2}{5}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 9}{10} (- \frac{5}{2})$

Cancel the common factor of $5$ .

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Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 9}{10} \cdot \frac{- 5}{2}$

Factor $5$ out of $10$ .

$\frac{- 9}{5 (2)} \cdot \frac{- 5}{2}$

Factor $5$ out of $- 5$ .

$\frac{- 9}{5 \cdot 2} \cdot \frac{5 \cdot - 1}{2}$

Cancel the common factor.

$\frac{- 9}{5 \cdot 2} \cdot \frac{5 \cdot - 1}{2}$

Rewrite the expression.

$\frac{- 9}{2} \cdot \frac{- 1}{2}$

Multiply $\frac{- 9}{2}$ and $\frac{- 1}{2}$ .

$\frac{- 9 \cdot - 1}{2 \cdot 2}$

Multiply.

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Multiply $- 9$ by $- 1$ .

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

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:

$2 \frac{1}{4}$

Evaluate (-9/10)/(-6/15)

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