Solve 2/3a+3/5a

$$\frac { 2 } { 3 a } + \frac { 3 } { 5 a }$$

Evaluate

$$\frac{19}{15a}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3a and 5a is 15a. Multiply \frac{2}{3a} times \frac{5}{5}. Multiply \frac{3}{5a} times \frac{3}{3}.

$$\frac{2\times 5}{15a}+\frac{3\times 3}{15a}$$

Since \frac{2\times 5}{15a} and \frac{3\times 3}{15a} have the same denominator, add them by adding their numerators.

$$\frac{2\times 5+3\times 3}{15a}$$

Do the multiplications in 2\times 5+3\times 3.

$$\frac{10+9}{15a}$$

Do the calculations in 10+9.

$$\frac{19}{15a}$$

Differentiate w.r.t. a

$$-\frac{19}{15a^{2}}$$