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 285: 85



Work Step by Step

The fractions are not similar since they have different fractions. Make the fractions similar using their LCD of $12$. $\dfrac{4}{3} - \dfrac{3}{4} \\=\dfrac{4\color{blue}{(4)}}{3\color{blue}{(4)}}-\dfrac{3\color{blue}{(3)}}{4\color{blue}{(3)}} \\=\dfrac{16}{12}-\dfrac{9}{12}$ Now that the fractions are similar, subtract the numerators and copy the denominator to obtain: $=\dfrac{16-9}{12} \\=\dfrac{7}{12}$
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.