Problem 61
Question
Simplify each complex rational expression. $$\frac{1+\frac{1}{x}}{3-\frac{1}{x}}$$
Step-by-Step Solution
Verified Answer
The simplified complex rational expression is \(\frac{x+1}{3x-1}\)
1Step 1: Multiplying Through By the Denominator
Multiply every term in the numerator and in the denominator by \(x\), in order to remove the fractions within the fraction. This leads to: \(x(1+\frac{1}{x})/x(3-\frac{1}{x})\) which will simplify to \(\frac{x+1}{3x-1}\)
2Step 2: Factoring the Denominator
The denominator \(3x-1\) cannot be factored, so the expression is already in its simplest form
Other exercises in this chapter
Problem 61
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