Solve 7/4c-5/6c

$$\frac { 7 } { 4 c } - \frac { 5 } { 6 c }$$

Evaluate

$$\frac{11}{12c}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4c and 6c is 12c. Multiply \frac{7}{4c} times \frac{3}{3}. Multiply \frac{5}{6c} times \frac{2}{2}.

$$\frac{7\times 3}{12c}-\frac{5\times 2}{12c}$$

Since \frac{7\times 3}{12c} and \frac{5\times 2}{12c} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7\times 3-5\times 2}{12c}$$

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

$$\frac{21-10}{12c}$$

Do the calculations in 21-10.

$$\frac{11}{12c}$$

Differentiate w.r.t. c

$$-\frac{11}{12c^{2}}$$