Simplify (u-2v)/(12u^2)+(5u-6v)/(12u^2)

$\frac{u - 2 v}{12 u^{2}} + \frac{5 u - 6 v}{12 u^{2}}$

Step 1

Combine the numerators over the common denominator.

$\frac{u - 2 v + 5 u - 6 v}{12 u^{2}}$

Step 2

Add $u$ and $5 u$ .

$\frac{6 u - 2 v - 6 v}{12 u^{2}}$

Step 3

Subtract $6 v$ from $- 2 v$ .

$\frac{6 u - 8 v}{12 u^{2}}$

Step 4

Cancel the common factor of $6 u - 8 v$ and $12$ .

Factor $2$ out of $6 u$ .

$\frac{2 (3 u) - 8 v}{12 u^{2}}$

Factor $2$ out of $- 8 v$ .

$\frac{2 (3 u) + 2 (- 4 v)}{12 u^{2}}$

Factor $2$ out of $2 (3 u) + 2 (- 4 v)$ .

$\frac{2 (3 u - 4 v)}{12 u^{2}}$

Cancel the common factors.

Factor $2$ out of $12 u^{2}$ .

$\frac{2 (3 u - 4 v)}{2 (6 u^{2})}$

Cancel the common factor.

$\frac{2 (3 u - 4 v)}{2 (6 u^{2})}$

Rewrite the expression.

$\frac{3 u - 4 v}{6 u^{2}}$