Basic Math Examples

$(\frac{- 10}{27}) \cdot (\frac{- 8}{20}) \cdot (\frac{- 45}{- 28})$

Step 1

Cancel the common factor of $10$ .

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Step 1.1

Factor $10$ out of $- 10$ .

$\frac{10 (- 1)}{27} \cdot \frac{- 8}{20} \cdot \frac{- 45}{- 28}$

Step 1.2

Factor $10$ out of $20$ .

$\frac{10 \cdot - 1}{27} \cdot \frac{- 8}{10 \cdot 2} \cdot \frac{- 45}{- 28}$

Step 1.3

Cancel the common factor.

$\frac{10 \cdot - 1}{27} \cdot \frac{- 8}{10 \cdot 2} \cdot \frac{- 45}{- 28}$

Step 1.4

Rewrite the expression.

$\frac{- 1}{27} \cdot \frac{- 8}{2} \cdot \frac{- 45}{- 28}$

Step 2

Multiply $\frac{- 1}{27}$ by $\frac{- 8}{2}$ .

$\frac{- - 8}{27 \cdot 2} \cdot \frac{- 45}{- 28}$

Step 3

Multiply.

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Step 3.1

Multiply $- 1$ by $- 8$ .

$\frac{8}{27 \cdot 2} \cdot \frac{- 45}{- 28}$

Step 3.2

Multiply $27$ by $2$ .

$\frac{8}{54} \cdot \frac{- 45}{- 28}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $8$ .

$\frac{4 (2)}{54} \cdot \frac{- 45}{- 28}$

Step 4.2

Factor $4$ out of $- 28$ .

$\frac{4 \cdot 2}{54} \cdot \frac{- 45}{4 \cdot - 7}$

Step 4.3

Cancel the common factor.

$\frac{4 \cdot 2}{54} \cdot \frac{- 45}{4 \cdot - 7}$

Step 4.4

Rewrite the expression.

$\frac{2}{54} \cdot \frac{- 45}{- 7}$

Step 5

Cancel the common factor of $9$ .

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Step 5.1

Factor $9$ out of $54$ .

$\frac{2}{9 (6)} \cdot \frac{- 45}{- 7}$

Step 5.2

Factor $9$ out of $- 45$ .

$\frac{2}{9 \cdot 6} \cdot \frac{9 \cdot - 5}{- 7}$

Step 5.3

Cancel the common factor.

$\frac{2}{9 \cdot 6} \cdot \frac{9 \cdot - 5}{- 7}$

Step 5.4

Rewrite the expression.

$\frac{2}{6} \cdot \frac{- 5}{- 7}$

Step 6

Multiply $\frac{2}{6}$ by $\frac{- 5}{- 7}$ .

$\frac{2 \cdot - 5}{6 \cdot - 7}$

Step 7

Multiply.

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Step 7.1

Multiply $2$ by $- 5$ .

$\frac{- 10}{6 \cdot - 7}$

Step 7.2

Multiply $6$ by $- 7$ .

$\frac{- 10}{- 42}$

Step 8

Cancel the common factor of $- 10$ and $- 42$ .

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Step 8.1

Factor $- 2$ out of $- 10$ .

$\frac{- 2 (5)}{- 42}$

Step 8.2

Cancel the common factors.

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Step 8.2.1

Factor $- 2$ out of $- 42$ .

$\frac{- 2 \cdot 5}{- 2 \cdot 21}$

Step 8.2.2

Cancel the common factor.

$\frac{- 2 \cdot 5}{- 2 \cdot 21}$

Step 8.2.3

Rewrite the expression.

$\frac{5}{21}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{21}$

Decimal Form:

$0.\overline{238095}$