Basic Math Examples

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

Step 1

Cancel the common factor of $7$ .

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Step 1.1

Factor $7$ out of $14$ .

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

Step 1.2

Cancel the common factor.

$\frac{7 \cdot 2}{9} \cdot \frac{5}{7} \cdot \frac{9}{14} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 1.3

Rewrite the expression.

$\frac{2}{9} \cdot 5 \cdot \frac{9}{14} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 2

Combine $\frac{2}{9}$ and $5$ .

$\frac{2 \cdot 5}{9} \cdot \frac{9}{14} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 3

Multiply $2$ by $5$ .

$\frac{10}{9} \cdot \frac{9}{14} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $10$ .

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

Step 4.2

Factor $2$ out of $14$ .

$\frac{2 \cdot 5}{9} \cdot \frac{9}{2 \cdot 7} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 4.3

Cancel the common factor.

$\frac{2 \cdot 5}{9} \cdot \frac{9}{2 \cdot 7} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 4.4

Rewrite the expression.

$\frac{5}{9} \cdot \frac{9}{7} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 5

Cancel the common factor of $9$ .

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Step 5.1

Cancel the common factor.

$\frac{5}{9} \cdot \frac{9}{7} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 5.2

Rewrite the expression.

$5 \cdot \frac{1}{7} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 6

Combine $5$ and $\frac{1}{7}$ .

$\frac{5}{7} \cdot \frac{5}{9} \cdot \frac{7}{5}$

Step 7

Multiply $\frac{5}{7} \cdot \frac{5}{9}$ .

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Step 7.1

Multiply $\frac{5}{7}$ by $\frac{5}{9}$ .

$\frac{5 \cdot 5}{7 \cdot 9} \cdot \frac{7}{5}$

Step 7.2

Multiply $5$ by $5$ .

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

Step 7.3

Multiply $7$ by $9$ .

$\frac{25}{63} \cdot \frac{7}{5}$

Step 8

Cancel the common factor of $5$ .

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Step 8.1

Factor $5$ out of $25$ .

$\frac{5 (5)}{63} \cdot \frac{7}{5}$

Step 8.2

Cancel the common factor.

$\frac{5 \cdot 5}{63} \cdot \frac{7}{5}$

Step 8.3

Rewrite the expression.

$\frac{5}{63} \cdot 7$

Step 9

Cancel the common factor of $7$ .

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Step 9.1

Factor $7$ out of $63$ .

$\frac{5}{7 (9)} \cdot 7$

Step 9.2

Cancel the common factor.

$\frac{5}{7 \cdot 9} \cdot 7$

Step 9.3

Rewrite the expression.

$\frac{5}{9}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{9}$

Decimal Form:

$0.\overline{5}$