If K is the sum of reciprocals of the consecutive integers from 33 to 38, inclusive, then K is closest in value to which of the following?  Choose one: A) 1/12 B) 1/10 C) 1/8 D) 1/7 E) 1/4
1/33 , 1/34 , 1/35 , 1/36 , 1/37 , 1/38   Hypothetically , assume all 6 Numbers to be 1/33   Hence sum of it would result in = 6/33 ( almost equals 1/6 , or slightly more than 1/6 - )   If all 6 nos were to be 1/38 ... Sum of which would result in 6/38 = 3/19 .   Hence answer should lie between 1/6 and 1/7 (3/21)   1/7 i.e 1/7
<result>D</result>
If K is the sum of reciprocals of the consecutive integers from 33 to 38, inclusive, then K is closest in value to which of the following?