Solve 11b/6-2b/3

$$\frac { 11 b } { 6 } - \frac { 2 b } { 3 }$$

Evaluate

$$\frac{7b}{6}$$

Short Solution Steps

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

$$\frac{11b}{6}-\frac{2\times 2b}{6}$$

Since \frac{11b}{6} and \frac{2\times 2b}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11b-2\times 2b}{6}$$

Do the multiplications in 11b-2\times 2b.

$$\frac{11b-4b}{6}$$

Combine like terms in 11b-4b.

$$\frac{7b}{6}$$

Differentiate w.r.t. b

$$\frac{7}{6} = 1\frac{1}{6} = 1.1666666666666667$$