Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.1 - Review of Real Numbers and Their Properties - Exercises - Page 12: 15

Answer

5/6>2/3 In such examples, find the LCM or common multiple of denominator. Here denominators are 6 and 3. So 6 is the table of 3. So LCM becomes 6. We can write like this: 5 x 1 / 6 and 2 x 2 / 6 So 5/6 and 4/6 So 5/6 > 4/6 and therefore, 5/6 > 2/3 In such examples of comparing fractions try to make denominators of fractions equal by finding out LCM or common multiple and then see which numerator comes greater and that fraction will be greater.

Work Step by Step

2/2=1 (2/3)*(2/2)=(2/3)*1 (2*2)/(3*2)=2/3 4/6=2/3 5>4 implies 5/6>4/6 as dividing by a positive number Hence 5/6>2/3
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