Solve 4m-3n/2m+3n+3m-4n/2m+3n

$$\frac { 4 m - 3 n } { 2 m + 3 n } + \frac { 3 m - 4 n } { 2 m + 3 n }$$

Evaluate

$$\frac{7\left(m-n\right)}{2m+3n}$$

Short Solution Steps

Since \frac{4m-3n}{2m+3n} and \frac{3m-4n}{2m+3n} have the same denominator, add them by adding their numerators.

$$\frac{4m-3n+3m-4n}{2m+3n}$$

Combine like terms in 4m-3n+3m-4n.

$$\frac{7m-7n}{2m+3n}$$

Expand

$$-\frac{7\left(n-m\right)}{2m+3n}$$

Short Solution Steps

Since \frac{4m-3n}{2m+3n} and \frac{3m-4n}{2m+3n} have the same denominator, add them by adding their numerators.

$$\frac{4m-3n+3m-4n}{2m+3n}$$

Combine like terms in 4m-3n+3m-4n.

$$\frac{7m-7n}{2m+3n}$$