## Basic College Mathematics (9th Edition)

Published by Pearson

# Chapter 3 - Adding and Subtracting Fractions - Review Exercises: 38

#### Answer

10$\frac{5}{12}$

#### Work Step by Step

4$\frac{3}{4}$ + 5$\frac{2}{3}$ Convert the mixed fraction into improper fraction 4$\frac{3}{4}$ = $\frac{19}{4}$ 5$\frac{2}{3}$ = $\frac{17}{3}$ The least common multiple of 4 and 3 is 12. Rewrite all the fractions as fractions with a least common denominator of 12. $\frac{57}{12}$ + $\frac{68}{12}$= $\frac{125}{12}$ $\frac{125}{12}$ is improper fraction so convert it into mixed fraction $\frac{125}{12}$ = 10$\frac{5}{12}$

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