Chapter 7: Q. 430 (page 737)

In the following exercise, Simplify.
$\frac{\frac{2}{m} + \frac{m}{n}}{\frac{n}{m} - \frac{1}{n}}$

Short Answer

Expert verified

The solution is $\frac{2 n + m^{2}}{n^{2} - m}$

Step by step solution

Step 1. Given information

$\frac{\frac{2}{m} + \frac{m}{n}}{\frac{n}{m} - \frac{1}{n}}$

Step 2. Simplify

The LCD of all the fractions is $n m$

Multiply both the numerator and denominator by $n m$

role="math" localid="1646724306783" $= \frac{n m (\frac{2}{m} + \frac{m}{n})}{n m (\frac{n}{m} - \frac{1}{n})} = \frac{\frac{2 n + m^{2}}{m n}}{\frac{n^{2} - m}{m n}}$

Rewrite as fraction division.

role="math" localid="1646724387368" $= \frac{2 n + m^{2}}{m n} \div \frac{n^{2} - m}{m n}$

Multiply the first the reciprocal of second

$= \frac{2 n + m^{2}}{m n} \times \frac{m n}{n^{2} - m} = \frac{2 n + m^{2}}{n^{2} - m}$

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In the following exercise, Simplify.
$\frac{\frac{2}{m} + \frac{m}{n}}{\frac{n}{m} - \frac{1}{n}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

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In the following exercise, Simplify.2m+mnnm-1n

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercise, Simplify.
$\frac{\frac{2}{m} + \frac{m}{n}}{\frac{n}{m} - \frac{1}{n}}$