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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 241 (page 954)

Add $\frac{7}{15 p} + \frac{5}{18 p q}$ .

Short Answer

Expert verified

The sum is $\frac{14 q + 25}{30 p q}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{7}{15 p} + \frac{5}{18 p q}$ .

02

Find the LCD of denominators.

Factor the denominators.

$15 p = 3 路 5 路 p$

$18 p q = 2 路 3 路 3 路 p 路 q$

LCD $= 5 路 2 路 3 路 3 路 p 路 q$

LCD $= 90 p q$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{7 路 2 q}{15 p 路 2 q} + \frac{5 路 5}{18 p q 路 5}$

$= \frac{14 q}{30 p q} + \frac{25}{30 p q}$

04

Add

Take common denominator.

$= \frac{14 q + 25}{30 p q}$

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Most popular questions from this chapter

Simplify

In the following exercises, use either method.

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two ways: rewriting it as a division problem multiplying the numerator and denominator by the LCD Which method do you prefer? Why?

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Simplify

In the following exercises, use either method.

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In the following exercises, simplify.

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