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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 192 (page 953)

Add $\frac{5}{6 p^{2} q} + \frac{1}{4 p}$ .

Short Answer

Expert verified

The sum is $\frac{10 + 3 p q}{12 p^{2} q}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{5}{6 p^{2} q} + \frac{1}{4 p}$ .

02

Find the LCD of denominators.

Factor the denominators.

$6 p^{2} q = 2 路 3 路 p 路 p 路 q$

$4 p = 2 路 2 路 p$

LCD $= 2 路 3 路 p 路 p 路 q 路 2$

LCD $= 12 p^{2} q$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{5 路 2}{6 p^{2} q 路 2} + \frac{1 路 3 p q}{4 p 路 3 p q}$

$= \frac{10}{12 p^{2} q} + \frac{3 p q}{12 p^{2} q}$

04

Add

Take common denominator.

$= \frac{10 + 3 p q}{12 p^{2} q}$

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