Answer
$\frac{43}{48}$
Work Step by Step
Find the LCD.
$\ \ \ \ \ 16=2\times2\times2\times2$
$\ \ \ \ \ 8\ \ =2\times2\times2$
$\ \ \ \ \ 3\ \ =\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3$
$\ \ \ \ \ 4\ \ =2\times2$
$LCD=2\times2\times2\times2\times3=48$
$\frac{3}{16}+\frac{1}{8}+\frac{1}{3}+\frac{1}{4}=\frac{3\times3}{16\times3}+\frac{1\times6}{8\times6}+\frac{1\times16}{3\times16}+\frac{1\times12}{4\times12}=\frac{9}{48}+\frac{6}{48}+\frac{16}{48}+\frac{12}{48}=\frac{9+6+16+12}{48}=\frac{43}{48}$
