Basic Math Examples

$\frac{3}{5} \cdot \frac{12}{m} \cdot \frac{n}{75}$

Step 1

Multiply $\frac{3}{5} \cdot \frac{12}{m}$ .

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Step 1.1

Multiply $\frac{3}{5}$ by $\frac{12}{m}$ .

$\frac{3 \cdot 12}{5 m} \cdot \frac{n}{75}$

Step 1.2

Multiply $3$ by $12$ .

$\frac{36}{5 m} \cdot \frac{n}{75}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $36$ .

$\frac{3 (12)}{5 m} \cdot \frac{n}{75}$

Step 2.2

Factor $3$ out of $75$ .

$\frac{3 \cdot 12}{5 m} \cdot \frac{n}{3 \cdot 25}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot 12}{5 m} \cdot \frac{n}{3 \cdot 25}$

Step 2.4

Rewrite the expression.

$\frac{12}{5 m} \cdot \frac{n}{25}$

Step 3

Multiply $\frac{12}{5 m}$ by $\frac{n}{25}$ .

$\frac{12 n}{5 m \cdot 25}$

Step 4

Multiply $25$ by $5$ .

$\frac{12 n}{125 m}$