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 274: 79

Answer

$\frac{34}{20}$ or $1\frac{7}{10}$

Work Step by Step

The formula for the perimeter of a quadrilateral is $P=$ side a+side b+side c+ side d $P= \frac{3}{4}+ \frac{1}{2}+ \frac{1}{5}+ \frac{1}{4}$ The least common multiple of the denominators is 20. Adjust the fractions based on the least common multiple. For the first fraction, multiply the numerator and denominator by 5. $ \frac{3}{4} \times \frac{5}{5}= \frac{15}{20}$ For the second fraction, multiply the numerator and denominator by 10. $ \frac{1}{2} \times \frac{10}{10}= \frac{10}{20}$ For the third fraction, multiply the numerator and denominator by 4. $ \frac{1}{5} \times \frac{4}{4}= \frac{4}{20}$ For the fourth fraction, multiply the numerator and denominator by 5. $ \frac{1}{4} \times \frac{5}{5}= \frac{5}{20}$ $P= \frac{15}{20}+ \frac{10}{20}+ \frac{4}{20}+ \frac{5}{20}= \frac{34}{20}= 1\frac{7}{10}$
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