Algebra Examples

$\frac{m - 4}{3 m^{2} + 24 m} \div \frac{m - 4}{m - 6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{m - 4}{3 m^{2} + 24 m} \cdot \frac{m - 6}{m - 4}$

Step 2

Cancel the common factor of $m - 4$ .

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Step 2.1

Cancel the common factor.

$\frac{m - 4}{3 m^{2} + 24 m} \cdot \frac{m - 6}{m - 4}$

Step 2.2

Rewrite the expression.

$\frac{1}{3 m^{2} + 24 m} (m - 6)$

Step 3

Factor $3 m$ out of $3 m^{2} + 24 m$ .

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Step 3.1

Factor $3 m$ out of $3 m^{2}$ .

$\frac{1}{3 m (m) + 24 m} (m - 6)$

Step 3.2

Factor $3 m$ out of $24 m$ .

$\frac{1}{3 m (m) + 3 m (8)} (m - 6)$

Step 3.3

Factor $3 m$ out of $3 m (m) + 3 m (8)$ .

$\frac{1}{3 m (m + 8)} (m - 6)$

Step 4

Multiply $\frac{1}{3 m (m + 8)}$ by $m - 6$ .

$\frac{m - 6}{3 m (m + 8)}$