## Basic College Mathematics (9th Edition)

Published by Pearson

# Chapter 3 - Adding and Subtracting Fractions - Review Exercises: 23

#### Answer

$\frac{5}{6}$

#### Work Step by Step

$\frac{1}{2}$ + $\frac{1}{3}$ The least common multiple of 2 and 3 is 6, so first rewrite the fractions as like fractions with a denominator of 6. This is the least common denominator (LCD) of 2 and 3. Step 1 $\frac{1}{2}$ = $\frac{}{6}$ Divide 6 by 2, getting 3, multiply numerator and denominator by 3 $\frac{1}{2}$ = $\frac{1 * 3}{2 * 3}$ = $\frac{3}{6}$ $\frac{1}{3}$ = $\frac{}{6}$ Divide 6 by 3, getting 2, multiply numerator and denominator by 2 $\frac{1}{3}$ = $\frac{1 * 2}{3 * 2}$ = $\frac{2}{6}$ Now, add the like fractions $\frac{3}{6}$ and $\frac{2}{6}$ Step 2 : $\frac{3}{6}$ + $\frac{2}{6}$ = $\frac{3 + 2}{6}$ = $\frac{5}{6}$ $\frac{5}{6}$ is in the lowest term .

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