Solve 4/3p+1/6p

$$\frac { 4 } { 3 p } + \frac { 1 } { 6 p }$$

Evaluate

$$\frac{3}{2p}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3p and 6p is 6p. Multiply \frac{4}{3p} times \frac{2}{2}.

$$\frac{4\times 2}{6p}+\frac{1}{6p}$$

Since \frac{4\times 2}{6p} and \frac{1}{6p} have the same denominator, add them by adding their numerators.

$$\frac{4\times 2+1}{6p}$$

Do the multiplications in 4\times 2+1.

$$\frac{8+1}{6p}$$

Do the calculations in 8+1.

$$\frac{9}{6p}$$

Differentiate w.r.t. p

$$-\frac{3}{2p^{2}}$$