Solve 1/2c^2d+1/cd^2

$$\frac { 1 } { 2 c ^ { 2 } d } + \frac { 1 } { c d ^ { 2 } }$$

Evaluate

$$\frac{2c+d}{2\left(cd\right)^{2}}$$

Solution Steps

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

$$\frac{d}{2c^{2}d^{2}}+\frac{2c}{2c^{2}d^{2}}$$

Since \frac{d}{2c^{2}d^{2}} and \frac{2c}{2c^{2}d^{2}} have the same denominator, add them by adding their numerators.

$$\frac{d+2c}{2c^{2}d^{2}}$$

Factor

$$\frac{2c+d}{2\left(cd\right)^{2}}$$