Basic Math Examples

$\frac{12}{15} \cdot \frac{25}{39}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $12$ .

$\frac{3 (4)}{15} \cdot \frac{25}{39}$

Step 1.2

Factor $3$ out of $39$ .

$\frac{3 \cdot 4}{15} \cdot \frac{25}{3 \cdot 13}$

Step 1.3

Cancel the common factor.

$\frac{3 \cdot 4}{15} \cdot \frac{25}{3 \cdot 13}$

Step 1.4

Rewrite the expression.

$\frac{4}{15} \cdot \frac{25}{13}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15$ .

$\frac{4}{5 (3)} \cdot \frac{25}{13}$

Step 2.2

Factor $5$ out of $25$ .

$\frac{4}{5 \cdot 3} \cdot \frac{5 \cdot 5}{13}$

Step 2.3

Cancel the common factor.

$\frac{4}{5 \cdot 3} \cdot \frac{5 \cdot 5}{13}$

Step 2.4

Rewrite the expression.

$\frac{4}{3} \cdot \frac{5}{13}$

Step 3

Multiply $\frac{4}{3}$ by $\frac{5}{13}$ .

$\frac{4 \cdot 5}{3 \cdot 13}$

Step 4

Multiply.

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Step 4.1

Multiply $4$ by $5$ .

$\frac{20}{3 \cdot 13}$

Step 4.2

Multiply $3$ by $13$ .

$\frac{20}{39}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{39}$

Decimal Form:

$0.\overline{512820}$