Pre-Algebra Examples

$\frac{15}{16} \div (- \frac{25}{36})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{16} (- \frac{36}{25})$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{36}{25}$ into the numerator.

$\frac{15}{16} \cdot \frac{- 36}{25}$

Step 2.2

Factor $5$ out of $15$ .

$\frac{5 (3)}{16} \cdot \frac{- 36}{25}$

Step 2.3

Factor $5$ out of $25$ .

$\frac{5 \cdot 3}{16} \cdot \frac{- 36}{5 \cdot 5}$

Step 2.4

Cancel the common factor.

$\frac{5 \cdot 3}{16} \cdot \frac{- 36}{5 \cdot 5}$

Step 2.5

Rewrite the expression.

$\frac{3}{16} \cdot \frac{- 36}{5}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $16$ .

$\frac{3}{4 (4)} \cdot \frac{- 36}{5}$

Step 3.2

Factor $4$ out of $- 36$ .

$\frac{3}{4 \cdot 4} \cdot \frac{4 \cdot - 9}{5}$

Step 3.3

Cancel the common factor.

$\frac{3}{4 \cdot 4} \cdot \frac{4 \cdot - 9}{5}$

Step 3.4

Rewrite the expression.

$\frac{3}{4} \cdot \frac{- 9}{5}$

Step 4

Multiply $\frac{3}{4}$ by $\frac{- 9}{5}$ .

$\frac{3 \cdot - 9}{4 \cdot 5}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $3$ by $- 9$ .

$\frac{- 27}{4 \cdot 5}$

Step 5.2

Multiply $4$ by $5$ .

$\frac{- 27}{20}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{27}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{20}$

Decimal Form:

$- 1.35$

Mixed Number Form:

$- 1 \frac{7}{20}$