Pre-Algebra Examples

$\frac{2}{3} \cdot (- \frac{9}{10}) \cdot \frac{7}{12}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Move the leading negative in $- \frac{9}{10}$ into the numerator.

$\frac{2}{3} \cdot \frac{- 9}{10} \cdot \frac{7}{12}$

Step 1.2

Factor $2$ out of $10$ .

$\frac{2}{3} \cdot \frac{- 9}{2 (5)} \cdot \frac{7}{12}$

Step 1.3

Cancel the common factor.

$\frac{2}{3} \cdot \frac{- 9}{2 \cdot 5} \cdot \frac{7}{12}$

Step 1.4

Rewrite the expression.

$\frac{1}{3} \cdot \frac{- 9}{5} \cdot \frac{7}{12}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $- 9$ .

$\frac{1}{3} \cdot \frac{3 (- 3)}{5} \cdot \frac{7}{12}$

Step 2.2

Cancel the common factor.

$\frac{1}{3} \cdot \frac{3 \cdot - 3}{5} \cdot \frac{7}{12}$

Step 2.3

Rewrite the expression.

$\frac{- 3}{5} \cdot \frac{7}{12}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{5} \cdot \frac{7}{12}$

Step 3.2

Factor $3$ out of $12$ .

$\frac{3 \cdot - 1}{5} \cdot \frac{7}{3 \cdot 4}$

Step 3.3

Cancel the common factor.

$\frac{3 \cdot - 1}{5} \cdot \frac{7}{3 \cdot 4}$

Step 3.4

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{7}{4}$

Step 4

Multiply $\frac{- 1}{5}$ by $\frac{7}{4}$ .

$\frac{- 1 \cdot 7}{5 \cdot 4}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $- 1$ by $7$ .

$\frac{- 7}{5 \cdot 4}$

Step 5.2

Multiply $5$ by $4$ .

$\frac{- 7}{20}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{7}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{20}$

Decimal Form:

$- 0.35$