If K is the sum of reciprocals of the consecutive integers from 13 to 18, inclusive, then K is closest in value to which of the following?
Choose the correct answer:
A) 1/12
B) 1/3
C) 1/7
D) 1/6
E) 1/4
1/13 , 1/14 , 1/15 , 1/16 , 1/17 , 1/18   Hypothetically , assume all 6 Numbers to be 1/13   Hence sum of it would result in = 6/13 ( almost equals 1/2 , or slightly less than 1/2 - )   If all 6 nos were to be 1/8 ... Sum of which would result in 6/18 = 1/3 .   Hence answer should lie between 1/2 and 1/3   ------------ 1/2 ------------1/3 .   The only option that satisfies this criteria is option 1/3 i.e 1/3
<result>B</result>
If K is the sum of reciprocals of the consecutive integers from 13 to 18, inclusive, then K is closest in value to which of the following?