## Algebra 1

Published by Prentice Hall

# Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 676: 25

#### Answer

$\frac{35 + 6a}{15a}$

#### Work Step by Step

To solve: $\frac{7}{3a} + \frac{2}{5}$, you will first need to make sure both fractions have common denominators. To do this, we must find the LCD, or the Least Common Multiple, by writing out each as products of prime factors. $3a =3 \times a$ $5 = 5$ The Least Common Multiple, or LCD, then is $2\times 5\times a = 15a$ Now\times we can rewrite the fractions using the new LCD we found. $\frac{7}{3a} + \frac{2}{5}$ = $\frac{7\times 5}{3a \times 5} + \frac{2 \times3a}{5 \times 3a}$ =$\frac{35}{15a} + \frac{6a}{15a}$ Now that we have common denominators, we can add the numerators: $\frac{35}{15a} + \frac{6a}{15a}$ = $\frac{35 + 6a}{15a}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.