Pre-Algebra Examples

$\frac{- 3}{5} \cdot 8 \cdot \frac{2}{- 9}$

Step 1

Move the negative in front of the fraction.

$- \frac{3}{5} \cdot 8 \cdot \frac{2}{- 9}$

Step 2

Multiply $- \frac{3}{5} \cdot 8$ .

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Step 2.1

Multiply $8$ by $- 1$ .

$- 8 (\frac{3}{5}) \cdot \frac{2}{- 9}$

Step 2.2

Combine $- 8$ and $\frac{3}{5}$ .

$\frac{- 8 \cdot 3}{5} \cdot \frac{2}{- 9}$

Step 2.3

Multiply $- 8$ by $3$ .

$\frac{- 24}{5} \cdot \frac{2}{- 9}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $- 24$ .

$\frac{3 (- 8)}{5} \cdot \frac{2}{- 9}$

Step 3.2

Factor $3$ out of $- 9$ .

$\frac{3 \cdot - 8}{5} \cdot \frac{2}{3 \cdot - 3}$

Step 3.3

Cancel the common factor.

$\frac{3 \cdot - 8}{5} \cdot \frac{2}{3 \cdot - 3}$

Step 3.4

Rewrite the expression.

$\frac{- 8}{5} \cdot \frac{2}{- 3}$

Step 4

Multiply $\frac{- 8}{5}$ by $\frac{2}{- 3}$ .

$\frac{- 8 \cdot 2}{5 \cdot - 3}$

Step 5

Multiply.

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Step 5.1

Multiply $- 8$ by $2$ .

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

Step 5.2

Multiply $5$ by $- 3$ .

$\frac{- 16}{- 15}$

Step 6

Dividing two negative values results in a positive value.

$\frac{16}{15}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{15}$

Decimal Form:

$1.0\overline{6}$

Mixed Number Form:

$1 \frac{1}{15}$