Finite Math Examples

$\frac{5}{11} \cdot \frac{4}{10} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Factor $5$ out of $10$ .

$\frac{5}{11} \cdot \frac{4}{5 (2)} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 1.2

Cancel the common factor.

$\frac{5}{11} \cdot \frac{4}{5 \cdot 2} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 1.3

Rewrite the expression.

$\frac{1}{11} \cdot \frac{4}{2} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 2

Multiply $\frac{1}{11}$ by $\frac{4}{2}$ .

$\frac{4}{11 \cdot 2} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 3

Multiply $11$ by $2$ .

$\frac{4}{22} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 4

Cancel the common factor of $4$ and $22$ .

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Step 4.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{22} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $22$ .

$\frac{2 \cdot 2}{2 \cdot 11} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 11} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 4.2.3

Rewrite the expression.

$\frac{2}{11} \cdot \frac{3}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 5

Cancel the common factor of $3$ and $9$ .

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Step 5.1

Factor $3$ out of $3$ .

$\frac{2}{11} \cdot \frac{3 (1)}{9} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $9$ .

$\frac{2}{11} \cdot \frac{3 \cdot 1}{3 \cdot 3} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 5.2.2

Cancel the common factor.

$\frac{2}{11} \cdot \frac{3 \cdot 1}{3 \cdot 3} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 5.2.3

Rewrite the expression.

$\frac{2}{11} \cdot \frac{1}{3} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 6

Multiply $\frac{2}{11} \cdot \frac{1}{3}$ .

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Step 6.1

Multiply $\frac{2}{11}$ by $\frac{1}{3}$ .

$\frac{2}{11 \cdot 3} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 6.2

Multiply $11$ by $3$ .

$\frac{2}{33} \cdot \frac{2}{8} \cdot \frac{1}{7}$

Step 7

Cancel the common factor of $2$ .

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Step 7.1

Factor $2$ out of $8$ .

$\frac{2}{33} \cdot \frac{2}{2 (4)} \cdot \frac{1}{7}$

Step 7.2

Cancel the common factor.

$\frac{2}{33} \cdot \frac{2}{2 \cdot 4} \cdot \frac{1}{7}$

Step 7.3

Rewrite the expression.

$\frac{1}{33} \cdot \frac{2}{4} \cdot \frac{1}{7}$

Step 8

Multiply $\frac{1}{33}$ by $\frac{2}{4}$ .

$\frac{2}{33 \cdot 4} \cdot \frac{1}{7}$

Step 9

Multiply $33$ by $4$ .

$\frac{2}{132} \cdot \frac{1}{7}$

Step 10

Cancel the common factor of $2$ and $132$ .

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Step 10.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{132} \cdot \frac{1}{7}$

Step 10.2

Cancel the common factors.

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Step 10.2.1

Factor $2$ out of $132$ .

$\frac{2 \cdot 1}{2 \cdot 66} \cdot \frac{1}{7}$

Step 10.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 66} \cdot \frac{1}{7}$

Step 10.2.3

Rewrite the expression.

$\frac{1}{66} \cdot \frac{1}{7}$

Step 11

Multiply $\frac{1}{66} \cdot \frac{1}{7}$ .

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Step 11.1

Multiply $\frac{1}{66}$ by $\frac{1}{7}$ .

$\frac{1}{66 \cdot 7}$

Step 11.2

Multiply $66$ by $7$ .

$\frac{1}{462}$

Step 12

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{462}$

Decimal Form:

$0.0\overline{021645}$