Answer
$\frac{37}{48}$
Work Step by Step
Find the LCD.
$\ \ \ \ \ 3\ \ =3$
$\ \ \ \ \ 6\ \ =3\times2$
$\ \ \ \ \ 16=\ \ \ \ \ \ \ 2\times2\times2\times2$
$\ \ \ \ \ 12=3\times2\times2$
$LCD=3\times2\times2\times2\times2=48$
$\frac{1}{3}+\frac{1}{6}+\frac{3}{16}+\frac{1}{12}=\frac{1\times16}{3\times16}+\frac{1\times8}{6\times8}+\frac{3\times3}{16\times3}+\frac{1\times4}{12\times4}=\frac{16}{48}+\frac{8}{48}+\frac{9}{48}+\frac{4}{48}=\frac{16+8+9+4}{48}=\frac{37}{48}$
