Basic Math Examples

$\frac{2}{5} \cdot ((\frac{15}{32}) (\frac{8}{9}))$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $15$ .

$\frac{2}{5} \cdot (\frac{3 (5)}{32} \cdot \frac{8}{9})$

Step 1.2

Factor $3$ out of $9$ .

$\frac{2}{5} \cdot (\frac{3 \cdot 5}{32} \cdot \frac{8}{3 \cdot 3})$

Step 1.3

Cancel the common factor.

$\frac{2}{5} \cdot (\frac{3 \cdot 5}{32} \cdot \frac{8}{3 \cdot 3})$

Step 1.4

Rewrite the expression.

$\frac{2}{5} \cdot (\frac{5}{32} \cdot \frac{8}{3})$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Factor $8$ out of $32$ .

$\frac{2}{5} \cdot (\frac{5}{8 (4)} \cdot \frac{8}{3})$

Step 2.2

Cancel the common factor.

$\frac{2}{5} \cdot (\frac{5}{8 \cdot 4} \cdot \frac{8}{3})$

Step 2.3

Rewrite the expression.

$\frac{2}{5} \cdot (\frac{5}{4} \cdot \frac{1}{3})$

Step 3

Multiply $\frac{5}{4}$ by $\frac{1}{3}$ .

$\frac{2}{5} \cdot \frac{5}{4 \cdot 3}$

Step 4

Multiply $4$ by $3$ .

$\frac{2}{5} \cdot \frac{5}{12}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $12$ .

$\frac{2}{5} \cdot \frac{5}{2 (6)}$

Step 5.2

Cancel the common factor.

$\frac{2}{5} \cdot \frac{5}{2 \cdot 6}$

Step 5.3

Rewrite the expression.

$\frac{1}{5} \cdot \frac{5}{6}$

Step 6

Cancel the common factor of $5$ .

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Step 6.1

Cancel the common factor.

$\frac{1}{5} \cdot \frac{5}{6}$

Step 6.2

Rewrite the expression.

$\frac{1}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$