Solve a/6b-a/2b

$$\frac { a } { 6 b } - \frac { a } { 2 b }$$

Evaluate

$$-\frac{a}{3b}$$

Short Solution Steps

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

$$\frac{a}{6b}-\frac{3a}{6b}$$

Since \frac{a}{6b} and \frac{3a}{6b} have the same denominator, subtract them by subtracting their numerators.

$$\frac{a-3a}{6b}$$

Combine like terms in a-3a.

$$\frac{-2a}{6b}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-a}{3b}$$

Cancel out -1 in both numerator and denominator.

$$\frac{a}{-3b}$$

Differentiate w.r.t. a

$$-\frac{1}{3b}$$