Answer
$\frac{29}{36}$
Work Step by Step
The LCM of the original denominators, 6, 9, and 12, is 36. Therefore, we can rewrite the original fractions with a denominator of 36.
$\frac{5}{12}+\frac{2}{9}+\frac{1}{6}=\frac{5\times3}{12\times3}+\frac{2\times4}{9\times4}+\frac{1\times6}{6\times6}=\frac{15}{36}+\frac{8}{36}+\frac{6}{36}=\frac{15+8+6}{36}=\frac{29}{36}$
