Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.5 - Adding and Subtracting Unlike Fractions - Exercise Set - Page 273: 71

Answer

$\frac{13}{12}$ or $1 \frac{1}{12}$

Work Step by Step

$ x= \frac{1}{3}$ $y=\frac{3}{4}$ $ x+y= \frac{1}{3}+ \frac{3}{4}$ The least common multiplier of the denominators is 12. Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by 4. $ \frac{1}{3}\times \frac{4}{4}= \frac{4}{12}$ For the second fraction, multiply the numerator and denominator by 3. $ \frac{3}{4} \times \frac{3}{3}= \frac{9}{12}$ So, $x+y= \frac{4}{12}+ \frac{9}{12}= \frac{13}{12}= 1 \frac{1}{12}$
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