Basic Math Examples

$\frac{1}{6} \cdot \frac{1}{3} \div \frac{5}{4} \cdot \frac{6}{3} \div \frac{2}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{6} \cdot \frac{1}{3} \div \frac{5}{4} \cdot \frac{6}{3} \frac{9}{2}$

Step 2

Multiply $\frac{1}{6}$ by $\frac{1}{3}$ .

$\frac{1}{6 \cdot 3} \div \frac{5}{4} \cdot \frac{6}{3} \frac{9}{2}$

Step 3

Multiply $6$ by $3$ .

$\frac{1}{18} \div \frac{5}{4} \cdot \frac{6}{3} \frac{9}{2}$

Step 4

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{18} \cdot \frac{4}{5} \cdot \frac{6}{3} \frac{9}{2}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $18$ .

$\frac{1}{2 (9)} \cdot \frac{4}{5} \cdot \frac{6}{3} \frac{9}{2}$

Step 5.2

Factor $2$ out of $4$ .

$\frac{1}{2 \cdot 9} \cdot \frac{2 \cdot 2}{5} \cdot \frac{6}{3} \frac{9}{2}$

Step 5.3

Cancel the common factor.

$\frac{1}{2 \cdot 9} \cdot \frac{2 \cdot 2}{5} \cdot \frac{6}{3} \frac{9}{2}$

Step 5.4

Rewrite the expression.

$\frac{1}{9} \cdot \frac{2}{5} \cdot \frac{6}{3} \frac{9}{2}$

Step 6

Multiply $\frac{1}{9}$ by $\frac{2}{5}$ .

$\frac{2}{9 \cdot 5} \cdot \frac{6}{3} \frac{9}{2}$

Step 7

Multiply $9$ by $5$ .

$\frac{2}{45} \cdot \frac{6}{3} \frac{9}{2}$

Step 8

Cancel the common factor of $3$ .

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Step 8.1

Factor $3$ out of $45$ .

$\frac{2}{3 (15)} \cdot \frac{6}{3} \frac{9}{2}$

Step 8.2

Factor $3$ out of $6$ .

$\frac{2}{3 \cdot 15} \cdot \frac{3 \cdot 2}{3} \frac{9}{2}$

Step 8.3

Cancel the common factor.

$\frac{2}{3 \cdot 15} \cdot \frac{3 \cdot 2}{3} \frac{9}{2}$

Step 8.4

Rewrite the expression.

$\frac{2}{15} \cdot \frac{2}{3} \frac{9}{2}$

Step 9

Multiply $\frac{2}{15}$ by $\frac{2}{3}$ .

$\frac{2 \cdot 2}{15 \cdot 3} \cdot \frac{9}{2}$

Step 10

Multiply.

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Step 10.1

Multiply $2$ by $2$ .

$\frac{4}{15 \cdot 3} \cdot \frac{9}{2}$

Step 10.2

Multiply $15$ by $3$ .

$\frac{4}{45} \cdot \frac{9}{2}$

Step 11

Cancel the common factor of $2$ .

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Step 11.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{45} \cdot \frac{9}{2}$

Step 11.2

Cancel the common factor.

$\frac{2 \cdot 2}{45} \cdot \frac{9}{2}$

Step 11.3

Rewrite the expression.

$\frac{2}{45} \cdot 9$

Step 12

Cancel the common factor of $9$ .

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Step 12.1

Factor $9$ out of $45$ .

$\frac{2}{9 (5)} \cdot 9$

Step 12.2

Cancel the common factor.

$\frac{2}{9 \cdot 5} \cdot 9$

Step 12.3

Rewrite the expression.

$\frac{2}{5}$

Step 13

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$