Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 3 - Adding and Subtracting Fractions - Mixed Review Exercises - Page 257: 10

Answer

$\frac{8}{11}$

Work Step by Step

$\frac{7}{22}+\frac{3}{22}+\frac{3}{11}$ now the least common multiple of 22 & 11 is 22. so multiply the nominator and denominator of third fraction with 2. $\frac{7}{22}+\frac{3}{22}+\frac{3\times2}{11\times2}$ =$\frac{7}{22}+\frac{3}{22}+\frac{6}{22}$ Add numerators, as all fractions have same denominator = $\frac{7+3+6}{22}$ = $\frac{16}{22}$ = $\frac{16\div2}{22\div2}$ (divide by common factor 2) = $\frac{8}{11}$
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