Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set: 77

Answer

$\frac{7}{10}$

Work Step by Step

$\frac{1}{2} + \frac{1}{5}$ the least common denominator for the denominators 2 and 5 is 10. To obtain denominators of 10, multiply the numerator and denominator of the first fraction by 5 and the second fraction by 2. $\frac{1}{2} + \frac{1}{5}$ = $\frac{1*5}{2*5} + \frac{1*2}{5*2}$ $\frac{5}{10} + \frac{2}{10}$ Add the numerators and put this sum over the least common denominator. $\frac{5+2}{10}$ = $\frac{7}{10}$
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