Simplify (3m)/(2m+1)+(11m+7)/(2m+1)

$\frac{3 m}{2 m + 1} + \frac{11 m + 7}{2 m + 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 m + 11 m + 7}{2 m + 1}$

Step 2

Add $3 m$ and $11 m$ .

$\frac{14 m + 7}{2 m + 1}$

Step 3

Factor $7$ out of $14 m + 7$ .

Factor $7$ out of $14 m$ .

$\frac{7 (2 m) + 7}{2 m + 1}$

Factor $7$ out of $7$ .

$\frac{7 (2 m) + 7 (1)}{2 m + 1}$

Factor $7$ out of $7 (2 m) + 7 (1)$ .

$\frac{7 (2 m + 1)}{2 m + 1}$

Step 4

Cancel the common factor of $2 m + 1$ .

Cancel the common factor.

$\frac{7 (2 m + 1)}{2 m + 1}$

Divide $7$ by $1$ .

$7$