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 - Chapter 5 Test - Page 337: 10

Answer

\[\frac{37}{60}\].

Work Step by Step

As no grouping symbol is there, perform the subtraction operation as follows: \[\begin{align} & \frac{19}{24}-\frac{7}{40}=\frac{\left( 19\times 5 \right)-\left( 7\times 3 \right)}{120} \\ & =\frac{\left( 95 \right)-\left( 21 \right)}{120} \\ & =\frac{74}{120} \\ & =\frac{37}{60} \end{align}\] Hence, the value of the provided expression is\[\frac{37}{60}\].
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