Solve -7/6c+5/9c

$$\frac { - 7 } { 6 c } + \frac { 5 } { 9 c }$$

Evaluate

$$-\frac{11}{18c}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6c and 9c is 18c. Multiply \frac{-7}{6c} times \frac{3}{3}. Multiply \frac{5}{9c} times \frac{2}{2}.

$$\frac{-7\times 3}{18c}+\frac{5\times 2}{18c}$$

Since \frac{-7\times 3}{18c} and \frac{5\times 2}{18c} have the same denominator, add them by adding their numerators.

$$\frac{-7\times 3+5\times 2}{18c}$$

Do the multiplications in -7\times 3+5\times 2.

$$\frac{-21+10}{18c}$$

Do the calculations in -21+10.

$$\frac{-11}{18c}$$

Differentiate w.r.t. c

$$\frac{11}{18c^{2}}$$