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: 140

Answer

38 miles

Work Step by Step

Since we are given that 1 inch on a map is equal to a distance of 16 actual miles, we can find the actual distance (in miles) of 2$\frac{3}{8}$ inches on the map. First, we need to write the mixed numeral 2$\frac{3}{8}$ as an improper fraction so that we can multiply. 2$\frac{3}{8}$ = $\frac{19}{8}$ Now we can multiply the improper fraction showing the distance on the map by 16 (the number of miles represented by 1 inch). $\frac{19}{8}$ x $\frac{16}{1}$ = $\frac{304}{8}$ 304 $\div$ 8 = 38. Therefore, our actual distance is 38 miles.
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