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 286: 143


Sum of a rational number and an integer is called a mixed number. A rational number in which numerator is greater than the denominator is called an improper fraction. A mixed number of type \[a\frac{b}{c}\] can be converted into an improper fraction as follows: \[a\frac{b}{c}=\frac{a\cdot c+b}{c}\] Thus, the problem is solved as follows: \[\begin{align} & 7\frac{2}{3}=\frac{7\cdot 3+2}{3} \\ & =\frac{21+2}{3} \\ & =\frac{23}{3} \end{align}\]
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