Explanation Given: A complex fraction 1 − 2 x x + 4 9 x Concept Used: A rational Expression whose numerator, denominator, or both contains one or more rational expressions is called a complex rational expression or a complex fraction. Simplifying a Complex Fraction: Step 1: Multiply the numerator and the denominator of the complex fraction by the LCD of the fractions in both the numerator and the denominator. Step 2: Simplify Calculation: Simplifying a Complex Fraction: Step 1: Multiply the numerator and the denominator of the complex fraction by the LCD of the fractions in both the numerator and the denominator. LCD of the numerator 1 − 2 x and the denominator x + 4 9 x of the complex fraction is ‘ 9 x ’ Multiply both the numerator 1 − 2 x and the denominator x + 4 9 x by the LCD ‘ 9 x ’. We know that: x ⋅ 1 x = 1 ; 9 x ⋅ 2 x = 2 ⋅ 9 ⋅ x ⋅ 1 x = 18 9 x ⋅ ( 1 9 x ) = 1 ; 9 x ⋅ ( 4 9 x ) = 4 ⋅ 9 x ⋅ ( 1 9 x ) = 4 Numerator: 1 − 2 x = 9 x ⋅ 1 − 9 x ⋅ 2 x = 9 x − 2 ⋅ 9 ⋅ x ⋅ 1 x

2nd Edition

ISBN: 9780135257500

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.7, Problem 7ES

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Simplify the complex fraction 1−2xx + 49x

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Simplify the complex fraction 1 − 2 x x + 4 9 x

Solution Summary: The author explains how to simplify a complex tion by multiplying the numerator and denominator by the LCD.

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