Explanation Given: ( 2 x ) − 1 + 1 2 x − 1 − 1 Concept Used: Complex fraction: a fraction whose numerator or denominator or both contain fractions is called a complex fraction. One method for simplifying complex fraction use the fact that a fraction bar means division, and in another method is to multiply the numerator and the denominator of the complex fraction by the LCD(least common divisor) of all fractions in its numerator and its denominator Calculation: To simplify ( 2 x ) − 1 + 1 2 x − 1 − 1 , first perform the operation in numerator and denominator, as ( 2 x ) − 1 + 1 2 x − 1 − 1 = 1 2 x + 1 2 x − 1 ← since, a − 1 = 1 a = 1 + 2 x 2 x

2nd Edition

ISBN: 9780135257500

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14, Problem 47CR

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Simplify the complex fraction

( 2x)−1+12x−1−1

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Chapter 14, Problem 46CR

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