## Basic College Mathematics (9th Edition)

$\frac{5}{6}$
First, we must find the least common denominator (or the denominator that is the least common multiple of the original denominators) of 3 and 6. 3- 3, 6 6- 6 Therefore, the LCM of 3 and 6 is 6. Next, we can rewrite the two fractions as like fractions and add them together. $\frac{1}{6}+\frac{2}{3}=\frac{1}{6}+\frac{2\times2}{3\times2}=\frac{1}{6}+\frac{4}{6}=\frac{1+4}{6}=\frac{5}{6}$