Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 285: 81



Work Step by Step

We start with the problem: $\frac{5}{24}$ + $\frac{7}{30}$. First, we must have fractions with the same denominator when we add. So, our first job is to find the common denominator for 24 and 30. A common denominator for the two numbers is 120. Now, we can write our fractions with a denominator of 120. $\frac{25}{120}$ + $\frac{28}{120}$ = $\frac{53}{120}$ Since we had fractions with the same denominator, we add the numerators and leave the denominator at 120. The fractional answer we ended up with cannot be simplified.
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