Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.5 - Adding and Subtracting Unlike Fractions - Practice: 7

Answer

$\frac{5}{8}\gt\frac{11}{20}$

Work Step by Step

Find the LCD (lowest common denominator) of $8$ and $20$. List the multiple of 8 and 20. 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220. The lowest common multiple of these numbers will be our denominator. The lowest common multiple is 40. $\frac{5}{8}=\frac{5\times5}{8\times5}=\frac{25}{40}$ $\frac{11}{20}=\frac{11\times2}{20\times2}=\frac{22}{40}$ Since $\frac{25}{40}\gt\frac{22}{40}$; $\frac{5}{8}\gt\frac{11}{20}$
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