Solve 1/4ab-2b/3ab

$$\frac { 1 } { 4 a b } - \frac { 2 b } { 3 a b }$$

Evaluate

$$\frac{3-8b}{12ab}$$

Short Solution Steps

Cancel out b in both numerator and denominator.

$$\frac{1}{4ab}-\frac{2}{3a}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4ab and 3a is 12ab. Multiply \frac{1}{4ab} times \frac{3}{3}. Multiply \frac{2}{3a} times \frac{4b}{4b}.

$$\frac{3}{12ab}-\frac{2\times 4b}{12ab}$$

Since \frac{3}{12ab} and \frac{2\times 4b}{12ab} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2\times 4b}{12ab}$$

Do the multiplications in 3-2\times 4b.

$$\frac{3-8b}{12ab}$$

Factor

$$\frac{3-8b}{12ab}$$