Basic College Mathematics (10th Edition)

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

Chapter 3 - Adding and Subtracting Fractions - 3.3 Adding and Subtracting Unlike Fractions - 3.3 Exercises - Page 219: 22

Answer

$ \frac{16}{21}$.

Work Step by Step

We can perform vertical addition using the same techniques as horizontal addition. The LCM of the original denominators, $7$ and $3$, is $21$. Therefore, we can rewrite the original fractions with a denominator of 21. $\frac{3}{7} + \frac{1}{3} = \frac{3 \cdot 3}{7 \cdot 3} + \frac{1 \cdot 7}{3 \cdot 7} = \frac{9}{21} + \frac{7}{21} = \frac{9 + 7}{21} = \frac{16}{21}$.
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