Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapters 1-4 - Decimals - Test - Page 328: 35


$21\frac{1}{8}-20\frac{1}{4}=21.125-20.25=0.875=\frac{7}{8}$ inches

Work Step by Step

To change the fractions to decimals, first we need to write $\frac{1}{8}$ and $\frac{1}{4}$ as decimals. We do this by dividing: $~~~~0.125$ $8\overline{)1.000}$ $~~~~~~~\underline{8}$ $~~~~~~~20$ $~~~~~~~\underline{16}$ $~~~~~~~~~~40$ $~~~~~~~~~~\underline{40}$ $~~~~~~~~~~~~~0$ $~~~~0.25$ $4\overline{)1.00}$ $~~~~~~~\underline{8}$ $~~~~~~~~20$ $~~~~~~~~\underline{20}$ $~~~~~~~~~~~0$ Therefore, $21\frac{1}{8}=21.125$ and $20\frac{1}{4}=20.25$. We find the difference: $21.125-20.25=0.875$ inches We convert this to a fraction: $0.875=\frac{875}{1000}=\frac{7}{8}$ This matches our answer to Exercise 34. We see that the fraction and decimal methods yielded equivalent answers, although it was simpler to work in fractions.
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.