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: 79

Answer

$\frac{9}{10}$

Work Step by Step

$\frac{3}{4} + \frac{3}{20}$ the least common denominator for the denominators 4 and 20 is 20. To obtain denominators of 20, multiply the numerator and denominator of the first fraction by 5 $\frac{3}{4} + \frac{3}{20}$ = $\frac{3*5}{4*5} + \frac{3}{20}$ $\frac{15}{20} + \frac{3}{20}$ Add the numerators and put this sum over the least common denominator. $\frac{15+3}{20}$ = $\frac{18}{20}$ Since 2 is the greatest common factor of 18 and 20, divide numerator and denominator by 2 So, $\frac{9*2}{10*2}$ = $\frac{9}{10}$
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