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Chapter 0: Problem 61

Simplify each complex rational expression. $$\frac{1+\frac{1}{x}}{3-\frac{1}{x}}$$

Short Answer

Expert verified
The simplified form of the complex rational expression is \( \frac{x+1}{3x-1} \)

Step by step solution

01

Distribute the Common Denominator to Every Term

Multiply the entire expression by \(x\) to clear the fractions in the numerator and the denominator. This results in:\[\frac{x(1+\frac{1}{x})}{x(3-\frac{1}{x})} = \frac{x+1}{3x-1}\]
02

Simplification

The expression simplified in step one does not simplify any further. The answer is \( \frac{x+1}{3x-1} \)

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Most popular questions from this chapter

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