Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 3 - Adding and Subtracting Fractions - Review Exercises - Page 255: 31



Work Step by Step

18$\frac{5}{8}$ + 13$\frac{3}{4}$ Estimate : 18$\frac{5}{8}$ round to 19 13$\frac{3}{4}$ round to 14 So add 19+ 14= 33 is the estimate answer Exact : 18$\frac{5}{8}$ + 13$\frac{3}{4}$ The least common multiple of 8 and 4 is 8. Rewrite both fractions as fractions with a least common denominator of 8. Rewrite as like fraction 18$\frac{5}{8}$ + 13$\frac{3}{4}$= 18$\frac{5}{8}$ + 13$\frac{6}{8}$ Add : 18$\frac{5}{8}$ + 13$\frac{6}{8}$ Sum of the whole number is 31 and sum of the fraction is $\frac{11}{8}$ = 31$\frac{11}{8}$ The improper fraction $\frac{11}{8}$ is in lowest terms convert it into mixed fraction 1$\frac{3}{8}$, so the simplified sum is 31$\frac{11}{8}$ + 1$\frac{3}{8}$ = 32$\frac{3}{8}$
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