Basic College Mathematics (10th Edition)

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

Chapter 3 - Adding and Subtracting Fractions - Test - Page 260: 16


Addition/subtraction requires forming a least common denominator, while multiplication/division does not.

Work Step by Step

When working with fractions, people often find addition and subtraction more difficult than division and multiplication because addition/subtractions requires forming the least common denominator, while multiplication/division does not. For example, consider adding vs multiplying the following fractions: $\displaystyle \frac{1}{2}+\frac{1}{3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}$ $\displaystyle \frac{1}{2}*\frac{1}{3}=\frac{1}{2*3}+\frac{1}{6}$ Multiplication took fewer steps and there was less "thinking" involved -- all one had to do was multiply the numbers across. Similarly, division can be turned into multiplication by simply taking the reciprocal of the second fraction. Thus subtraction/addition tend to "feel" harder for most students.
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.