Pre-Algebra Examples

$\frac{2}{- 7} \cdot 3 \cdot \frac{- 5}{9}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $\frac{2}{- 7} \cdot 3$ .

$3 \cdot \frac{2}{- 7} \cdot \frac{- 5}{9}$

Step 1.2

Factor $3$ out of $9$ .

$3 \cdot \frac{2}{- 7} \cdot \frac{- 5}{3 (3)}$

Step 1.3

Cancel the common factor.

$3 \cdot \frac{2}{- 7} \cdot \frac{- 5}{3 \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{2}{- 7} \cdot \frac{- 5}{3}$

Step 2

Multiply $\frac{2}{- 7}$ by $\frac{- 5}{3}$ .

$\frac{2 \cdot - 5}{- 7 \cdot 3}$

Step 3

Multiply.

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Step 3.1

Multiply $2$ by $- 5$ .

$\frac{- 10}{- 7 \cdot 3}$

Step 3.2

Multiply $- 7$ by $3$ .

$\frac{- 10}{- 21}$

Step 4

Dividing two negative values results in a positive value.

$\frac{10}{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{21}$

Decimal Form:

$0.\overline{476190}$