Basic Math Examples

$\frac{10}{20} \cdot \frac{9}{19} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 1

Cancel the common factor of $10$ and $20$ .

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Step 1.1

Factor $10$ out of $10$ .

$\frac{10 (1)}{20} \cdot \frac{9}{19} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $10$ out of $20$ .

$\frac{10 \cdot 1}{10 \cdot 2} \cdot \frac{9}{19} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 1.2.2

Cancel the common factor.

$\frac{10 \cdot 1}{10 \cdot 2} \cdot \frac{9}{19} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{2} \cdot \frac{9}{19} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 2

Multiply $\frac{1}{2} \cdot \frac{9}{19}$ .

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Step 2.1

Multiply $\frac{1}{2}$ by $\frac{9}{19}$ .

$\frac{9}{2 \cdot 19} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 2.2

Multiply $2$ by $19$ .

$\frac{9}{38} \cdot \frac{8}{18} \cdot \frac{7}{17}$

Step 3

Cancel the common factor of $9$ .

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Step 3.1

Factor $9$ out of $18$ .

$\frac{9}{38} \cdot \frac{8}{9 (2)} \cdot \frac{7}{17}$

Step 3.2

Cancel the common factor.

$\frac{9}{38} \cdot \frac{8}{9 \cdot 2} \cdot \frac{7}{17}$

Step 3.3

Rewrite the expression.

$\frac{1}{38} \cdot \frac{8}{2} \cdot \frac{7}{17}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $38$ .

$\frac{1}{2 (19)} \cdot \frac{8}{2} \cdot \frac{7}{17}$

Step 4.2

Factor $2$ out of $8$ .

$\frac{1}{2 \cdot 19} \cdot \frac{2 \cdot 4}{2} \cdot \frac{7}{17}$

Step 4.3

Cancel the common factor.

$\frac{1}{2 \cdot 19} \cdot \frac{2 \cdot 4}{2} \cdot \frac{7}{17}$

Step 4.4

Rewrite the expression.

$\frac{1}{19} \cdot \frac{4}{2} \cdot \frac{7}{17}$

Step 5

Multiply $\frac{1}{19}$ by $\frac{4}{2}$ .

$\frac{4}{19 \cdot 2} \cdot \frac{7}{17}$

Step 6

Multiply $19$ by $2$ .

$\frac{4}{38} \cdot \frac{7}{17}$

Step 7

Cancel the common factor of $4$ and $38$ .

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Step 7.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{38} \cdot \frac{7}{17}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $2$ out of $38$ .

$\frac{2 \cdot 2}{2 \cdot 19} \cdot \frac{7}{17}$

Step 7.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 19} \cdot \frac{7}{17}$

Step 7.2.3

Rewrite the expression.

$\frac{2}{19} \cdot \frac{7}{17}$

Step 8

Multiply $\frac{2}{19} \cdot \frac{7}{17}$ .

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Step 8.1

Multiply $\frac{2}{19}$ by $\frac{7}{17}$ .

$\frac{2 \cdot 7}{19 \cdot 17}$

Step 8.2

Multiply $2$ by $7$ .

$\frac{14}{19 \cdot 17}$

Step 8.3

Multiply $19$ by $17$ .

$\frac{14}{323}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{323}$

Decimal Form:

$0.04334365 \dots$