Basic Math Examples

$\frac{2 m - 12}{5 m} \cdot \frac{m^{6}}{5 m - 30}$

Step 1

Simplify terms.

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Step 1.1

Factor $2$ out of $2 m - 12$ .

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Step 1.1.1

Factor $2$ out of $2 m$ .

$\frac{2 (m) - 12}{5 m} \cdot \frac{m^{6}}{5 m - 30}$

Step 1.1.2

Factor $2$ out of $- 12$ .

$\frac{2 m + 2 \cdot - 6}{5 m} \cdot \frac{m^{6}}{5 m - 30}$

Step 1.1.3

Factor $2$ out of $2 m + 2 \cdot - 6$ .

$\frac{2 (m - 6)}{5 m} \cdot \frac{m^{6}}{5 m - 30}$

Step 1.2

Factor $5$ out of $5 m - 30$ .

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Step 1.2.1

Factor $5$ out of $5 m$ .

$\frac{2 (m - 6)}{5 m} \cdot \frac{m^{6}}{5 (m) - 30}$

Step 1.2.2

Factor $5$ out of $- 30$ .

$\frac{2 (m - 6)}{5 m} \cdot \frac{m^{6}}{5 m + 5 \cdot - 6}$

Step 1.2.3

Factor $5$ out of $5 m + 5 \cdot - 6$ .

$\frac{2 (m - 6)}{5 m} \cdot \frac{m^{6}}{5 (m - 6)}$

Step 1.3

Combine.

$\frac{2 (m - 6) m^{6}}{5 m (5 (m - 6))}$

Step 1.4

Cancel the common factor of $m - 6$ .

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Step 1.4.1

Cancel the common factor.

$\frac{2 (m - 6) m^{6}}{5 m (5 (m - 6))}$

Step 1.4.2

Rewrite the expression.

$\frac{2 m^{6}}{5 m \cdot (5)}$

Step 1.5

Cancel the common factor of $m^{6}$ and $m$ .

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Step 1.5.1

Factor $m$ out of $2 m^{6}$ .

$\frac{m (2 m^{5})}{5 m \cdot (5)}$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

Factor $m$ out of $5 m \cdot (5)$ .

$\frac{m (2 m^{5})}{m (5 \cdot (5))}$

Step 1.5.2.2

Cancel the common factor.

$\frac{m (2 m^{5})}{m (5 \cdot (5))}$

Step 1.5.2.3

Rewrite the expression.

$\frac{2 m^{5}}{5 \cdot (5)}$

Step 2

Multiply $5$ by $5$ .

$\frac{2 m^{5}}{25}$