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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 191 (page 953)

Add $\frac{1}{2 m} + \frac{7}{8 m^{2} n}$ .

Short Answer

Expert verified

The sum is $\frac{4 m n + 7}{8 m^{2} n}$ .

Step by step solution

01

Given Information

The Given expression is $\frac{1}{2 m} + \frac{7}{8 m^{2} n}$ .

02

Find the LCD of denominators.

Factor the denominators.

$2 m = 2 路 m$

$8 m^{2} n = 2 路 2 路 2 路 m 路 m 路 n$

LCD $= 2 路 2 路 2 路 m 路 m 路 n$

LCD $= 8 m^{2} n$

03

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{1 路 4 m n}{2 m 路 4 m n} + \frac{7 路 1}{8 m^{2} n 路 1}$

$= \frac{4 m n}{8 m^{2} n} + \frac{7}{8 m^{2} n}$

04

Add

Take common denominator.

$= \frac{4 m n + 7}{8 m^{2} n}$

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