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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 8.81 (page 945)

Add: $\frac{2}{15 a^{2} b} + \frac{5}{6 a b^{2}}$

Short Answer

Expert verified

The addition of rational expressions is $\frac{4 b + 25 a}{30 a^{2} b^{2}}$ .

Step by step solution

01

Given Information

The given expressions is $\frac{2}{15 a^{2} b} + \frac{5}{6 a b^{2}}$ .

02

Simplify the expression

$15 a^{2} b can be written as 3 脳 5 脳 a 脳 a 脳 b 6 {ab}^{2} can be written as 2 脳 3 脳 a 脳 b 脳 b$

The LCD of $15 a^{2} b and 6 {ab}^{2}$ is $30 a^{2} b^{2}$ .

Rewrite each rational expression as an equivalent fraction with the LCD .

$= \frac{2 脳 2 b}{15 a^{2} b 脳 2 b} + \frac{5 脳 5 a}{6 {ab}^{2} 脳 5 a} Simplify = \frac{4 b}{30 a^{2} b^{2}} + \frac{25 a}{30 a^{2} b^{2}} Add the rational expressions = \frac{4 b + 25 a}{30 a^{2} b^{2}}$

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