Solve -3/2d+5/8d

$$\frac { - 3 } { 2 d } + \frac { 5 } { 8 d }$$

Evaluate

$$-\frac{7}{8d}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2d and 8d is 8d. Multiply \frac{-3}{2d} times \frac{4}{4}.

$$\frac{-3\times 4}{8d}+\frac{5}{8d}$$

Since \frac{-3\times 4}{8d} and \frac{5}{8d} have the same denominator, add them by adding their numerators.

$$\frac{-3\times 4+5}{8d}$$

Do the multiplications in -3\times 4+5.

$$\frac{-12+5}{8d}$$

Do the calculations in -12+5.

$$\frac{-7}{8d}$$

Differentiate w.r.t. d

$$\frac{7}{8d^{2}}$$