Solve 5/6c-9/8c

$$\frac { 5 } { 6 c } - \frac { 9 } { 8 c }$$

Evaluate

$$-\frac{7}{24c}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6c and 8c is 24c. Multiply \frac{5}{6c} times \frac{4}{4}. Multiply \frac{9}{8c} times \frac{3}{3}.

$$\frac{5\times 4}{24c}-\frac{9\times 3}{24c}$$

Since \frac{5\times 4}{24c} and \frac{9\times 3}{24c} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\times 4-9\times 3}{24c}$$

Do the multiplications in 5\times 4-9\times 3.

$$\frac{20-27}{24c}$$

Do the calculations in 20-27.

$$\frac{-7}{24c}$$

Differentiate w.r.t. c

$$\frac{7}{24c^{2}}$$