Add and Subtract Rational Expressions with a Common Denominator: example 8.31

$\begin{array}{cccc}& & & \hfill \frac{3y}{4y-3}+\frac{7}{4y-3}\hfill \\ \begin{array}{c}\text{The fractions have a common}\hfill \\ \text{denominator, so add the numerators and}\hfill \\ \text{place the sum over the common}\hfill \\ \text{denominator.}\hfill \end{array}\hfill & & & \hfill \frac{3y+7}{4y-3}\hfill \end{array}$

The numerator and denominator cannot be factored. The fraction is simplified.