Basic Math Examples

$\frac{- 4}{7} \cdot ((\frac{14}{27}) (- \frac{9}{20}))$

Step 1

Move the negative in front of the fraction.

$- \frac{4}{7} \cdot ((\frac{14}{27}) (- \frac{9}{20}))$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{9}{20}$ into the numerator.

$- \frac{4}{7} \cdot (\frac{14}{27} \cdot \frac{- 9}{20})$

Step 2.2

Factor $2$ out of $14$ .

$- \frac{4}{7} \cdot (\frac{2 (7)}{27} \cdot \frac{- 9}{20})$

Step 2.3

Factor $2$ out of $20$ .

$- \frac{4}{7} \cdot (\frac{2 \cdot 7}{27} \cdot \frac{- 9}{2 \cdot 10})$

Step 2.4

Cancel the common factor.

$- \frac{4}{7} \cdot (\frac{2 \cdot 7}{27} \cdot \frac{- 9}{2 \cdot 10})$

Step 2.5

Rewrite the expression.

$- \frac{4}{7} \cdot (\frac{7}{27} \cdot \frac{- 9}{10})$

Step 3

Cancel the common factor of $9$ .

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Step 3.1

Factor $9$ out of $27$ .

$- \frac{4}{7} \cdot (\frac{7}{9 (3)} \cdot \frac{- 9}{10})$

Step 3.2

Factor $9$ out of $- 9$ .

$- \frac{4}{7} \cdot (\frac{7}{9 \cdot 3} \cdot \frac{9 \cdot - 1}{10})$

Step 3.3

Cancel the common factor.

$- \frac{4}{7} \cdot (\frac{7}{9 \cdot 3} \cdot \frac{9 \cdot - 1}{10})$

Step 3.4

Rewrite the expression.

$- \frac{4}{7} \cdot (\frac{7}{3} \cdot \frac{- 1}{10})$

Step 4

Multiply $\frac{7}{3}$ by $\frac{- 1}{10}$ .

$- \frac{4}{7} \cdot \frac{7 \cdot - 1}{3 \cdot 10}$

Step 5

Multiply.

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Step 5.1

Multiply $7$ by $- 1$ .

$- \frac{4}{7} \cdot \frac{- 7}{3 \cdot 10}$

Step 5.2

Multiply $3$ by $10$ .

$- \frac{4}{7} \cdot \frac{- 7}{30}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 4}{7} \cdot \frac{- 7}{30}$

Step 6.2

Factor $2$ out of $- 4$ .

$\frac{2 (- 2)}{7} \cdot \frac{- 7}{30}$

Step 6.3

Factor $2$ out of $30$ .

$\frac{2 \cdot - 2}{7} \cdot \frac{- 7}{2 \cdot 15}$

Step 6.4

Cancel the common factor.

$\frac{2 \cdot - 2}{7} \cdot \frac{- 7}{2 \cdot 15}$

Step 6.5

Rewrite the expression.

$\frac{- 2}{7} \cdot \frac{- 7}{15}$

Step 7

Cancel the common factor of $7$ .

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Step 7.1

Factor $7$ out of $- 7$ .

$\frac{- 2}{7} \cdot \frac{7 (- 1)}{15}$

Step 7.2

Cancel the common factor.

$\frac{- 2}{7} \cdot \frac{7 \cdot - 1}{15}$

Step 7.3

Rewrite the expression.

$- 2 \cdot \frac{- 1}{15}$

Step 8

Combine $- 2$ and $\frac{- 1}{15}$ .

$\frac{- 2 \cdot - 1}{15}$

Step 9

Multiply $- 2$ by $- 1$ .

$\frac{2}{15}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{15}$

Decimal Form:

$0.1\overline{3}$