Solve 1/4a-1/2a

$$\frac { 1 } { 4 a } - \frac { 1 } { 2 a }$$

Evaluate

$$-\frac{1}{4a}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4a and 2a is 4a. Multiply \frac{1}{2a} times \frac{2}{2}.

$$\frac{1}{4a}-\frac{2}{4a}$$

Since \frac{1}{4a} and \frac{2}{4a} have the same denominator, subtract them by subtracting their numerators. Subtract 2 from 1 to get -1.

$$\frac{-1}{4a}$$

Differentiate w.r.t. a

$$\frac{1}{4a^{2}}$$