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 1/4 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?  Choose the most appropriate option:
A) 1/2
B) 2/3
C) 3/4
D) 4/5
E) 5/12
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' = 1/4M = 15 books   Total = 25 books   M' = 25 =5/12*60   Ratio: 5/12   Ans: 5/12
<result>E</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 1/4 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?