Solve 8r/7r+3+9r

$$\frac { 8 r } { 7 r + 3 } + 9 r$$

Evaluate

$$\frac{7r\left(9r+5\right)}{7r+3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 9r times \frac{7r+3}{7r+3}.

$$\frac{8r}{7r+3}+\frac{9r\left(7r+3\right)}{7r+3}$$

Since \frac{8r}{7r+3} and \frac{9r\left(7r+3\right)}{7r+3} have the same denominator, add them by adding their numerators.

$$\frac{8r+9r\left(7r+3\right)}{7r+3}$$

Do the multiplications in 8r+9r\left(7r+3\right).

$$\frac{8r+63r^{2}+27r}{7r+3}$$

Combine like terms in 8r+63r^{2}+27r.

$$\frac{35r+63r^{2}}{7r+3}$$

Factor

$$\frac{7r\left(9r+5\right)}{7r+3}$$