Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 3 - Adding and Subtracting Fractions - 3.1 Adding and Subtracting Like Fractions - 3.1 Execises: 34

Answer

Like fractions have the same denominators. Example: $\frac{3}{5}, \frac{1}{5}, \frac{4}{5}$. Unlike fractions have different denominators. Example: $\frac{3}{5}, \frac{1}{3}, \frac{4}{15}$.

Work Step by Step

Like fractions have the same denominators. Example: $\frac{3}{5}, \frac{1}{5}, \frac{4}{5}$. It is very easy to add like fractions: $\frac{3}{5}+ \frac{1}{5} + \frac{4}{5} = \frac{3 + 1 + 4}{5} = \frac{8}{5}$. Unlike fractions have different denominators. Example: $\frac{3}{5}, \frac{1}{3}, \frac{4}{15}$. To add unlike fractions, we need to convert them first: $\frac{3}{5}+\frac{1}{3}+ \frac{4}{15} = \frac{9}{15} + \frac{5}{15} + \frac{4}{15} = \frac{9 + 5+ 4}{15} = \frac{18}{15}$.
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