Basic Math Examples

$\frac{27}{32} \cdot \frac{10}{13} \cdot \frac{16}{30}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $32$ .

$\frac{27}{2 (16)} \cdot \frac{10}{13} \cdot \frac{16}{30}$

Step 1.2

Factor $2$ out of $10$ .

$\frac{27}{2 \cdot 16} \cdot \frac{2 \cdot 5}{13} \cdot \frac{16}{30}$

Step 1.3

Cancel the common factor.

$\frac{27}{2 \cdot 16} \cdot \frac{2 \cdot 5}{13} \cdot \frac{16}{30}$

Step 1.4

Rewrite the expression.

$\frac{27}{16} \cdot \frac{5}{13} \cdot \frac{16}{30}$

Step 2

Multiply $\frac{27}{16}$ by $\frac{5}{13}$ .

$\frac{27 \cdot 5}{16 \cdot 13} \cdot \frac{16}{30}$

Step 3

Multiply.

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Step 3.1

Multiply $27$ by $5$ .

$\frac{135}{16 \cdot 13} \cdot \frac{16}{30}$

Step 3.2

Multiply $16$ by $13$ .

$\frac{135}{208} \cdot \frac{16}{30}$

Step 4

Cancel the common factor of $15$ .

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Step 4.1

Factor $15$ out of $135$ .

$\frac{15 (9)}{208} \cdot \frac{16}{30}$

Step 4.2

Factor $15$ out of $30$ .

$\frac{15 \cdot 9}{208} \cdot \frac{16}{15 \cdot 2}$

Step 4.3

Cancel the common factor.

$\frac{15 \cdot 9}{208} \cdot \frac{16}{15 \cdot 2}$

Step 4.4

Rewrite the expression.

$\frac{9}{208} \cdot \frac{16}{2}$

Step 5

Cancel the common factor of $16$ .

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Step 5.1

Factor $16$ out of $208$ .

$\frac{9}{16 (13)} \cdot \frac{16}{2}$

Step 5.2

Cancel the common factor.

$\frac{9}{16 \cdot 13} \cdot \frac{16}{2}$

Step 5.3

Rewrite the expression.

$\frac{9}{13} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{9}{13}$ by $\frac{1}{2}$ .

$\frac{9}{13 \cdot 2}$

Step 7

Multiply $13$ by $2$ .

$\frac{9}{26}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{26}$

Decimal Form:

$0.3\overline{461538}$