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: 144


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. An improper fraction can be converted into a mixed fraction by dividing a denominator into the numerator and expressing the mixed fraction as\[quotient\frac{remainder}{divisor}\]. Thus, the problem is solved as follows: \[\frac{47}{5}=\]\[5\overset{8}{\overline{\left){\begin{align} & 47 \\ & \underline{40} \\ & 07 \\ \end{align}}\right.}}\] Thus, \[\frac{47}{5}=8\frac{7}{5}\].
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