# Chapter 3 - Adding and Subtracting Fractions - Review Exercises: 37

9$\frac{1}{10}$

#### Work Step by Step

5$\frac{2}{5}$ + 3$\frac{7}{10}$ Convert the mixed fraction into improper fraction 5$\frac{2}{5}$ = $\frac{27}{5}$ 3$\frac{7}{10}$ = $\frac{37}{10}$ The least common multiple of 5 and 10 is 10. Rewrite all the fractions as fractions with a least common denominator of 10. $\frac{54}{10}$ + $\frac{37}{10}$ = $\frac{91}{10}$ $\frac{91}{10}$ is improper fraction so convert it into mixed fraction $\frac{91}{10}$ = 9$\frac{1}{10}$

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