Answer
$\frac{29}{36}$
Work Step by Step
The LCD of the original denominators, 3, 4, and 9, is 36. Therefore, we can rewrite all three fractions with a denominator of 36.
$\frac{1}{4}+\frac{2}{9}+\frac{1}{3}=\frac{1\times9}{4\times9}+\frac{2\times4}{9\times4}+\frac{1\times12}{3\times12}=\frac{9}{36}+\frac{8}{36}+\frac{12}{36}=\frac{9+8+12}{36}=\frac{29}{36}$
