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: 140


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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.