Basic Math Examples

$\frac{33}{25} \cdot \frac{10}{117} \cdot \frac{27}{22}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $33$ .

$\frac{3 (11)}{25} \cdot \frac{10}{117} \cdot \frac{27}{22}$

Step 1.2

Factor $3$ out of $117$ .

$\frac{3 \cdot 11}{25} \cdot \frac{10}{3 \cdot 39} \cdot \frac{27}{22}$

Step 1.3

Cancel the common factor.

$\frac{3 \cdot 11}{25} \cdot \frac{10}{3 \cdot 39} \cdot \frac{27}{22}$

Step 1.4

Rewrite the expression.

$\frac{11}{25} \cdot \frac{10}{39} \cdot \frac{27}{22}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $25$ .

$\frac{11}{5 (5)} \cdot \frac{10}{39} \cdot \frac{27}{22}$

Step 2.2

Factor $5$ out of $10$ .

$\frac{11}{5 \cdot 5} \cdot \frac{5 \cdot 2}{39} \cdot \frac{27}{22}$

Step 2.3

Cancel the common factor.

$\frac{11}{5 \cdot 5} \cdot \frac{5 \cdot 2}{39} \cdot \frac{27}{22}$

Step 2.4

Rewrite the expression.

$\frac{11}{5} \cdot \frac{2}{39} \cdot \frac{27}{22}$

Step 3

Multiply $\frac{11}{5}$ by $\frac{2}{39}$ .

$\frac{11 \cdot 2}{5 \cdot 39} \cdot \frac{27}{22}$

Step 4

Multiply.

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Step 4.1

Multiply $11$ by $2$ .

$\frac{22}{5 \cdot 39} \cdot \frac{27}{22}$

Step 4.2

Multiply $5$ by $39$ .

$\frac{22}{195} \cdot \frac{27}{22}$

Step 5

Cancel the common factor of $22$ .

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Step 5.1

Cancel the common factor.

$\frac{22}{195} \cdot \frac{27}{22}$

Step 5.2

Rewrite the expression.

$\frac{1}{195} \cdot 27$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $195$ .

$\frac{1}{3 (65)} \cdot 27$

Step 6.2

Factor $3$ out of $27$ .

$\frac{1}{3 \cdot 65} \cdot (3 \cdot 9)$

Step 6.3

Cancel the common factor.

$\frac{1}{3 \cdot 65} \cdot (3 \cdot 9)$

Step 6.4

Rewrite the expression.

$\frac{1}{65} \cdot 9$

Step 7

Combine $\frac{1}{65}$ and $9$ .

$\frac{9}{65}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{65}$

Decimal Form:

$0.1\overline{384615}$