Solve 3/8m-9+3

$$\frac { 3 } { 8 m - 9 } + 3$$

Evaluate

$$\frac{24\left(m-1\right)}{8m-9}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{8m-9}{8m-9}.

$$\frac{3}{8m-9}+\frac{3\left(8m-9\right)}{8m-9}$$

Since \frac{3}{8m-9} and \frac{3\left(8m-9\right)}{8m-9} have the same denominator, add them by adding their numerators.

$$\frac{3+3\left(8m-9\right)}{8m-9}$$

Do the multiplications in 3+3\left(8m-9\right).

$$\frac{3+24m-27}{8m-9}$$

Combine like terms in 3+24m-27.

$$\frac{-24+24m}{8m-9}$$

Factor

$$\frac{24\left(m-1\right)}{8m-9}$$