Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.5 - Adding and Subtracting Unlike Fractions - Exercise Set - Page 273: 53

Answer

$ \frac{5y+9}{9y}$

Work Step by Step

$ \frac{5}{9}+ \frac{1}{y}$ The least common multiplier of the denominator is $9\times y= 9y$ Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by y $\frac{5}{9}\times \frac{y}{y}= \frac{5y}{9y}$ For the second fraction, multiply the numerator and denominator by 9 $\frac{1}{y}\times \frac{9}{9}= \frac{9}{9y}$ Therefore, $ \frac{5y}{9y} + \frac{9}{9y}$ Combine the fractions $ \frac{5y}{9y} + \frac{9}{9y}= \frac{5y+9}{9y}$
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