Solve 7m/8-3m/5

$$\frac { 7 m } { 8 } - \frac { 3 m } { 5 }$$

Evaluate

$$\frac{11m}{40}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 5 is 40. Multiply \frac{7m}{8} times \frac{5}{5}. Multiply \frac{3m}{5} times \frac{8}{8}.

$$\frac{5\times 7m}{40}-\frac{8\times 3m}{40}$$

Since \frac{5\times 7m}{40} and \frac{8\times 3m}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\times 7m-8\times 3m}{40}$$

Do the multiplications in 5\times 7m-8\times 3m.

$$\frac{35m-24m}{40}$$

Combine like terms in 35m-24m.

$$\frac{11m}{40}$$

Differentiate w.r.t. m

$$\frac{11}{40} = 0.275$$