Kim finds a 2-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?	Choose the correct choice from the following answers:
A) 3/5	B) 2/5	C) 7/5	D) 1/2	E) 8/15
3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be   2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15   Which gives us 2/5 + 1/15 + 2/15 -----&gt; 3/5   3/5nswer is 3/5
<result>A</result>
Kim finds a 2-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?