Answer
$\frac{32}{105}$
Work Step by Step
Find the LCD.
$\ \ \ \ \ 14=2\times7$
$\ \ \ \ \ 15=\ \ \ \ \ \ \ \ \ \ \ 3\times5$
$\ \ \ \ \ \ \ 6=2\times\ \ \ \ 3$
$LCD=2\times7\times3\times5=210$
$\frac{1}{14}+\frac{1}{15}+\frac{1}{6}=\frac{1\times15}{14\times15}+\frac{1\times14}{15\times14}+\frac{1\times35}{6\times35}=\frac{15}{210}+\frac{14}{210}+\frac{35}{210}=\frac{15+14+35}{210}=\frac{64}{210}=\frac{64\div2}{210\div2}=\frac{32}{105}$
