Answer
$\frac{23}{48}$
Work Step by Step
We can perform vertical addition using the same techniques as horizontal addition. The LCM of the original denominators, 12 and 16, is 48. Therefore, we can rewrite the original fractions with a denominator of 48.
$\frac{5}{12}+\frac{1}{16}=\frac{5\times4}{12\times4}+\frac{1\times3}{16\times3}=\frac{20}{48}+\frac{3}{48}=\frac{20+3}{48}=\frac{23}{48}$
