Basic Math Examples

$\frac{6}{7} \div \frac{9}{5} \cdot \frac{14}{25}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{7} \cdot \frac{5}{9} \cdot \frac{14}{25}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

$\frac{3 (2)}{7} \cdot \frac{5}{9} \cdot \frac{14}{25}$

Step 2.2

Factor $3$ out of $9$ .

$\frac{3 \cdot 2}{7} \cdot \frac{5}{3 \cdot 3} \cdot \frac{14}{25}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot 2}{7} \cdot \frac{5}{3 \cdot 3} \cdot \frac{14}{25}$

Step 2.4

Rewrite the expression.

$\frac{2}{7} \cdot \frac{5}{3} \cdot \frac{14}{25}$

Step 3

Multiply $\frac{2}{7}$ by $\frac{5}{3}$ .

$\frac{2 \cdot 5}{7 \cdot 3} \cdot \frac{14}{25}$

Step 4

Multiply.

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Step 4.1

Multiply $2$ by $5$ .

$\frac{10}{7 \cdot 3} \cdot \frac{14}{25}$

Step 4.2

Multiply $7$ by $3$ .

$\frac{10}{21} \cdot \frac{14}{25}$

Step 5

Cancel the common factor of $5$ .

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Step 5.1

Factor $5$ out of $10$ .

$\frac{5 (2)}{21} \cdot \frac{14}{25}$

Step 5.2

Factor $5$ out of $25$ .

$\frac{5 \cdot 2}{21} \cdot \frac{14}{5 \cdot 5}$

Step 5.3

Cancel the common factor.

$\frac{5 \cdot 2}{21} \cdot \frac{14}{5 \cdot 5}$

Step 5.4

Rewrite the expression.

$\frac{2}{21} \cdot \frac{14}{5}$

Step 6

Cancel the common factor of $7$ .

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Step 6.1

Factor $7$ out of $21$ .

$\frac{2}{7 (3)} \cdot \frac{14}{5}$

Step 6.2

Factor $7$ out of $14$ .

$\frac{2}{7 \cdot 3} \cdot \frac{7 \cdot 2}{5}$

Step 6.3

Cancel the common factor.

$\frac{2}{7 \cdot 3} \cdot \frac{7 \cdot 2}{5}$

Step 6.4

Rewrite the expression.

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

Step 7

Multiply $\frac{2}{3}$ by $\frac{2}{5}$ .

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

Step 8

Multiply.

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Step 8.1

Multiply $2$ by $2$ .

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

Step 8.2

Multiply $3$ by $5$ .

$\frac{4}{15}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{15}$

Decimal Form:

$0.2\overline{6}$