Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set - Page 31: 139

Answer

The sum or difference of two fractions with identical denominators is the sum or difference of their numerators over the common denominator. $\displaystyle \frac{a}{b}+\frac{c}{b}= \displaystyle \frac{a+c}{b}$

Work Step by Step

The sum or difference of two fractions with identical denominators is the sum or difference of their numerators over the common denominator. $\displaystyle \frac{a}{b}+\frac{c}{b}= \displaystyle \frac{a+c}{b}$ Example $\displaystyle \frac{5}{12}+\frac{1}{12}=\frac{5+1}{12}$ $=\displaystyle \frac{6}{12}=\frac{(6)}{(6)\times 2}=\frac{1}{2}$ Example $\displaystyle \frac{5}{12}-\frac{1}{12}=\frac{5-1}{12}$ $=\displaystyle \frac{4}{12}=\frac{(4)}{(4)\times 3}=\frac{1}{3}$
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