Solve 1/2a+1/3a

$$\frac { 1 } { 2 a } + \frac { 1 } { 3 a }$$

Evaluate

$$\frac{5}{6a}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2a and 3a is 6a. Multiply \frac{1}{2a} times \frac{3}{3}. Multiply \frac{1}{3a} times \frac{2}{2}.

$$\frac{3}{6a}+\frac{2}{6a}$$

Since \frac{3}{6a} and \frac{2}{6a} have the same denominator, add them by adding their numerators. Add 3 and 2 to get 5.

$$\frac{5}{6a}$$

Differentiate w.r.t. a

$$-\frac{5}{6a^{2}}$$