Explanation Given: The fractions, 5 y + 1 − 4 y − 1 Concept Used: To add or subtract fractions with unlike denominators Step 1: Find the least common multiple (LCM) for the denominators. Step 2: Multiply the numerator and denominator to get like denominators. Step 3: Turn the other fractions into equivalent fractions. Step 4: Add the numerators over the common denominator. Step 5: Simplify and reduce the answer if necessary. Calculation: The LCD (Least Common Denominator) is the smallest number that is divisible by all the denominators. Here observe that the denominators are not same, so first we will make both denominators equal to LCD. The LCD of y + 1 and y − 1 is ( y + 1 ) ( y − 1 ) . So in order to subtract the fractions, we make both the denominators equal to LCD by multiplying the first fraction by ( y − 1 ) and second fraction by ( y + 1 ) up and down. So we get 5 y + 1 − 4 y − 1 = 5 y + 1 ⋅ ( y − 1 ) ( y − 1 ) − 4 y − 1 ⋅ ( y + 1 ) ( y + 1 ) = 5 ( y − 1 ) ( y + 1 ) ( y − 1 ) − 4 ( y + 1 ) ( y + 1 ) ( y − 1 ) Now since both the denominators are equal to LCD so we can simply subtractthe numerators and put over the common denominator

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 19.5, Problem 90ES

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To subtract the fractions 5y+1−4y−1

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Chapter 19.5, Problem 89ES

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To subtract the fractions 5 y + 1 − 4 y − 1

Solution Summary: The author explains how to add or subtract tions with unlike denominators.

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