Pre-Algebra Examples

$\frac{2}{15} \div (- \frac{8}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{15} (- \frac{25}{8})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{25}{8}$ into the numerator.

$\frac{2}{15} \cdot \frac{- 25}{8}$

Step 2.2

Factor $2$ out of $8$ .

$\frac{2}{15} \cdot \frac{- 25}{2 (4)}$

Step 2.3

Cancel the common factor.

$\frac{2}{15} \cdot \frac{- 25}{2 \cdot 4}$

Step 2.4

Rewrite the expression.

$\frac{1}{15} \cdot \frac{- 25}{4}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $15$ .

$\frac{1}{5 (3)} \cdot \frac{- 25}{4}$

Step 3.2

Factor $5$ out of $- 25$ .

$\frac{1}{5 \cdot 3} \cdot \frac{5 \cdot - 5}{4}$

Step 3.3

Cancel the common factor.

$\frac{1}{5 \cdot 3} \cdot \frac{5 \cdot - 5}{4}$

Step 3.4

Rewrite the expression.

$\frac{1}{3} \cdot \frac{- 5}{4}$

Step 4

Multiply $\frac{1}{3}$ by $\frac{- 5}{4}$ .

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

Step 5

Simplify the expression.

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Step 5.1

Multiply $3$ by $4$ .

$\frac{- 5}{12}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{5}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{12}$

Decimal Form:

$- 0.41\overline{6}$