Basic College Mathematics (9th Edition)

Published by Pearson

Chapter 3 - Adding and Subtracting Fractions - 3.3 Adding and Subtracting Unlike Fractions - 3.3 Exercises: 6

Answer

$\frac{1}{2}$

Work Step by Step

The LCD of the original denominators, 7 and 14, is 14. Therefore, we can rewrite both fractions with a denominator of 14. $\frac{3}{7}+\frac{1}{14}=\frac{3\times2}{7\times2}+\frac{1}{14}=\frac{6}{14}+\frac{1}{14}=\frac{6+1}{14}=\frac{7}{14}=\frac{1}{2}$

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