Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/5 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?	Choose one:
A) 1/2 B) 2/3 C) 3/4 D) 11/30 E) 5/6
Because we see H willbring 1/3 of his booksto the new home --&gt; try to pick a number that isdivisible by 3.   Before:   Assume H = 30 books   H = 1/2 M --&gt; M = 60 books   After:   H' = 1/3H = 10 books   M' = 1/5M =12 books   Total = 22 books   M' = 22 = 11/30*60   Ratio: 11/30   Ans:11/30
<result>D</result>
Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/5 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?