Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 1 - Section 1.7 - Addition and Subtraction of Fractions - Exercise: 22

Answer

$\frac{32}{105}$

Work Step by Step

Find the LCD. $\ \ \ \ \ 14=2\times7$ $\ \ \ \ \ 15=\ \ \ \ \ \ \ \ \ \ \ 3\times5$ $\ \ \ \ \ \ \ 6=2\times\ \ \ \ 3$ $LCD=2\times7\times3\times5=210$ $\frac{1}{14}+\frac{1}{15}+\frac{1}{6}=\frac{1\times15}{14\times15}+\frac{1\times14}{15\times14}+\frac{1\times35}{6\times35}=\frac{15}{210}+\frac{14}{210}+\frac{35}{210}=\frac{15+14+35}{210}=\frac{64}{210}=\frac{64\div2}{210\div2}=\frac{32}{105}$
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.