Basic Math Examples

$\frac{12}{20} \cdot \frac{32}{24} \cdot \frac{16}{100}$

Step 1

Cancel the common factor of $12$ .

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Step 1.1

Factor $12$ out of $24$ .

$\frac{12}{20} \cdot \frac{32}{12 (2)} \cdot \frac{16}{100}$

Step 1.2

Cancel the common factor.

$\frac{12}{20} \cdot \frac{32}{12 \cdot 2} \cdot \frac{16}{100}$

Step 1.3

Rewrite the expression.

$\frac{1}{20} \cdot \frac{32}{2} \cdot \frac{16}{100}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $20$ .

$\frac{1}{4 (5)} \cdot \frac{32}{2} \cdot \frac{16}{100}$

Step 2.2

Factor $4$ out of $32$ .

$\frac{1}{4 \cdot 5} \cdot \frac{4 \cdot 8}{2} \cdot \frac{16}{100}$

Step 2.3

Cancel the common factor.

$\frac{1}{4 \cdot 5} \cdot \frac{4 \cdot 8}{2} \cdot \frac{16}{100}$

Step 2.4

Rewrite the expression.

$\frac{1}{5} \cdot \frac{8}{2} \cdot \frac{16}{100}$

Step 3

Multiply $\frac{1}{5}$ by $\frac{8}{2}$ .

$\frac{8}{5 \cdot 2} \cdot \frac{16}{100}$

Step 4

Multiply $5$ by $2$ .

$\frac{8}{10} \cdot \frac{16}{100}$

Step 5

Cancel the common factor of $4$ .

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Step 5.1

Factor $4$ out of $8$ .

$\frac{4 (2)}{10} \cdot \frac{16}{100}$

Step 5.2

Factor $4$ out of $100$ .

$\frac{4 \cdot 2}{10} \cdot \frac{16}{4 \cdot 25}$

Step 5.3

Cancel the common factor.

$\frac{4 \cdot 2}{10} \cdot \frac{16}{4 \cdot 25}$

Step 5.4

Rewrite the expression.

$\frac{2}{10} \cdot \frac{16}{25}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $10$ .

$\frac{2}{2 (5)} \cdot \frac{16}{25}$

Step 6.2

Factor $2$ out of $16$ .

$\frac{2}{2 \cdot 5} \cdot \frac{2 \cdot 8}{25}$

Step 6.3

Cancel the common factor.

$\frac{2}{2 \cdot 5} \cdot \frac{2 \cdot 8}{25}$

Step 6.4

Rewrite the expression.

$\frac{2}{5} \cdot \frac{8}{25}$

Step 7

Multiply $\frac{2}{5}$ by $\frac{8}{25}$ .

$\frac{2 \cdot 8}{5 \cdot 25}$

Step 8

Multiply.

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Step 8.1

Multiply $2$ by $8$ .

$\frac{16}{5 \cdot 25}$

Step 8.2

Multiply $5$ by $25$ .

$\frac{16}{125}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{125}$

Decimal Form:

$0.128$