Basic Math Examples

$- \frac{5}{8} \cdot (- \frac{16}{15})$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$\frac{- 5}{8} \cdot (- \frac{16}{15})$

Step 1.2

Move the leading negative in $- \frac{16}{15}$ into the numerator.

$\frac{- 5}{8} \cdot \frac{- 16}{15}$

Step 1.3

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{8} \cdot \frac{- 16}{15}$

Step 1.4

Factor $5$ out of $15$ .

$\frac{5 \cdot - 1}{8} \cdot \frac{- 16}{5 \cdot 3}$

Step 1.5

Cancel the common factor.

$\frac{5 \cdot - 1}{8} \cdot \frac{- 16}{5 \cdot 3}$

Step 1.6

Rewrite the expression.

$\frac{- 1}{8} \cdot \frac{- 16}{3}$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Factor $8$ out of $- 16$ .

$\frac{- 1}{8} \cdot \frac{8 (- 2)}{3}$

Step 2.2

Cancel the common factor.

$\frac{- 1}{8} \cdot \frac{8 \cdot - 2}{3}$

Step 2.3

Rewrite the expression.

$- 1 \cdot \frac{- 2}{3}$

Step 3

Move the negative in front of the fraction.

$- 1 \cdot (- \frac{2}{3})$

Step 4

Multiply $- 1 (- \frac{2}{3})$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{2}{3})$

Step 4.2

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$