Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-5 Adding and Subtracting Real Numbers - Practice and Problem-Solving Exercises - Page 35: 49

Answer

$-\frac{1}{12}$

Work Step by Step

Convert all the fractions to like fractions with the least common denominator of 12. To find the difference of like fractions, subtract the numerators and retain the common denominator. $1-\frac{1}{2}-\frac{1}{3}-\frac{1}{4}\longrightarrow$ change the denominator of each fraction to 12 $=1-\frac{1\times6}{2\times6}-\frac{1\times4}{3\times4}-\frac{1\times3}{4\times3}\longrightarrow$ simplify $=1-\frac{6}{12}-\frac{4}{12}-\frac{3}{12}\longrightarrow$ subtract each term working left to right $=\frac{6}{12}-\frac{4}{12}-\frac{3}{12}$ $=\frac{2}{12}-\frac{3}{12}$ $=-\frac{1}{12}$
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.