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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.491. (page 742)

Perform the indicated operation and simplify.
$\frac{\frac{1}{m} - \frac{1}{n}}{\frac{1}{n} + \frac{1}{m}}$

Short Answer

Expert verified

The solution is $\frac{n - m}{n + m}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $\frac{\frac{1}{m} - \frac{1}{n}}{\frac{1}{n} + \frac{1}{m}}$ .

02

Step 2. Simplify the given expression.

$\frac{\frac{1}{m} - \frac{1}{n}}{\frac{1}{n} + \frac{1}{m}} = \frac{\frac{n - m}{m n}}{\frac{m + n}{m n}} \frac{\frac{1}{m} - \frac{1}{n}}{\frac{1}{n} + \frac{1}{m}} = \frac{n - m}{m n} 脳 \frac{m n}{n + m} \frac{\frac{1}{m} - \frac{1}{n}}{\frac{1}{n} + \frac{1}{m}} = \frac{n - m}{n + m}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{n - m}{n + m}$ .

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