Simplify (3m+6)/(12m-36)-6/(12m-36)

$\frac{3 m + 6}{12 m - 36} - \frac{6}{12 m - 36}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 m + 6 - 6}{12 m - 36}$

Step 2

Combine the opposite terms in $3 m + 6 - 6$ .

Subtract $6$ from $6$ .

$\frac{3 m + 0}{12 m - 36}$

Add $3 m$ and $0$ .

$\frac{3 m}{12 m - 36}$

$\frac{3 m}{12 m - 36}$

Step 3

Cancel the common factor of $3$ and $12 m - 36$ .

Factor $3$ out of $3 m$ .

$\frac{3 (m)}{12 m - 36}$

Cancel the common factors.

Factor $3$ out of $12 m$ .

$\frac{3 (m)}{3 (4 m) - 36}$

Factor $3$ out of $- 36$ .

$\frac{3 m}{3 (4 m) + 3 \cdot - 12}$

Factor $3$ out of $3 (4 m) + 3 (- 12)$ .

$\frac{3 (m)}{3 (4 m - 12)}$

Cancel the common factor.

$\frac{3 m}{3 (4 m - 12)}$

Rewrite the expression.

$\frac{m}{4 m - 12}$

$\frac{m}{4 m - 12}$

$\frac{m}{4 m - 12}$

Step 4

Factor $4$ out of $4 m - 12$ .

Factor $4$ out of $4 m$ .

$\frac{m}{4 (m) - 12}$

Factor $4$ out of $- 12$ .

$\frac{m}{4 m + 4 \cdot - 3}$

Factor $4$ out of $4 m + 4 \cdot - 3$ .

$\frac{m}{4 (m - 3)}$

$\frac{m}{4 (m - 3)}$

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