Finite Math Examples

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

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $8$ .

$\frac{2 (4)}{19} \cdot \frac{9}{18} \cdot \frac{2}{17}$

Step 1.2

Factor $2$ out of $18$ .

$\frac{2 \cdot 4}{19} \cdot \frac{9}{2 \cdot 9} \cdot \frac{2}{17}$

Step 1.3

Cancel the common factor.

$\frac{2 \cdot 4}{19} \cdot \frac{9}{2 \cdot 9} \cdot \frac{2}{17}$

Step 1.4

Rewrite the expression.

$\frac{4}{19} \cdot \frac{9}{9} \cdot \frac{2}{17}$

Step 2

Multiply $\frac{4}{19}$ by $\frac{9}{9}$ .

$\frac{4 \cdot 9}{19 \cdot 9} \cdot \frac{2}{17}$

Step 3

Multiply.

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Step 3.1

Multiply $4$ by $9$ .

$\frac{36}{19 \cdot 9} \cdot \frac{2}{17}$

Step 3.2

Multiply $19$ by $9$ .

$\frac{36}{171} \cdot \frac{2}{17}$

Step 4

Cancel the common factor of $36$ and $171$ .

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Step 4.1

Factor $9$ out of $36$ .

$\frac{9 (4)}{171} \cdot \frac{2}{17}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $9$ out of $171$ .

$\frac{9 \cdot 4}{9 \cdot 19} \cdot \frac{2}{17}$

Step 4.2.2

Cancel the common factor.

$\frac{9 \cdot 4}{9 \cdot 19} \cdot \frac{2}{17}$

Step 4.2.3

Rewrite the expression.

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

Step 5

Multiply $\frac{4}{19} \cdot \frac{2}{17}$ .

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Step 5.1

Multiply $\frac{4}{19}$ by $\frac{2}{17}$ .

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

Step 5.2

Multiply $4$ by $2$ .

$\frac{8}{19 \cdot 17}$

Step 5.3

Multiply $19$ by $17$ .

$\frac{8}{323}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{323}$

Decimal Form:

$0.02476780 \dots$