Basic Math Examples

$\frac{1}{3} \cdot ((\frac{13}{8}) (\frac{1}{39}) (\frac{16}{13}))$

Step 1

Cancel the common factor of $13$ .

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Step 1.1

Factor $13$ out of $39$ .

$\frac{1}{3} \cdot (\frac{13}{8} \cdot \frac{1}{13 (3)} \cdot \frac{16}{13})$

Step 1.2

Cancel the common factor.

$\frac{1}{3} \cdot (\frac{13}{8} \cdot \frac{1}{13 \cdot 3} \cdot \frac{16}{13})$

Step 1.3

Rewrite the expression.

$\frac{1}{3} \cdot (\frac{1}{8} \cdot \frac{1}{3} \cdot \frac{16}{13})$

Step 2

Multiply $\frac{1}{8}$ by $\frac{1}{3}$ .

$\frac{1}{3} \cdot (\frac{1}{8 \cdot 3} \cdot \frac{16}{13})$

Step 3

Multiply $8$ by $3$ .

$\frac{1}{3} \cdot (\frac{1}{24} \cdot \frac{16}{13})$

Step 4

Cancel the common factor of $8$ .

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Step 4.1

Factor $8$ out of $24$ .

$\frac{1}{3} \cdot (\frac{1}{8 (3)} \cdot \frac{16}{13})$

Step 4.2

Factor $8$ out of $16$ .

$\frac{1}{3} \cdot (\frac{1}{8 \cdot 3} \cdot \frac{8 \cdot 2}{13})$

Step 4.3

Cancel the common factor.

$\frac{1}{3} \cdot (\frac{1}{8 \cdot 3} \cdot \frac{8 \cdot 2}{13})$

Step 4.4

Rewrite the expression.

$\frac{1}{3} \cdot (\frac{1}{3} \cdot \frac{2}{13})$

Step 5

Multiply $\frac{1}{3}$ by $\frac{2}{13}$ .

$\frac{1}{3} \cdot \frac{2}{3 \cdot 13}$

Step 6

Multiply $3$ by $13$ .

$\frac{1}{3} \cdot \frac{2}{39}$

Step 7

Multiply $\frac{1}{3} \cdot \frac{2}{39}$ .

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Step 7.1

Multiply $\frac{1}{3}$ by $\frac{2}{39}$ .

$\frac{2}{3 \cdot 39}$

Step 7.2

Multiply $3$ by $39$ .

$\frac{2}{117}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{117}$

Decimal Form:

$0.\overline{017094}$