Fraction Problem, easier way? need help!

[cgjkim1]

Question: The value of (38+(17/15))/(21/97) can be doubled by doubling the number?
a) 15
b) 17
c) 21
d) 38
e) 97

The answer sheet said e) 97 is the answer. But I don't know why it is the answer. Please help me. Thank you!

[surya.anem]

The given question is as

(38+17/15) 97(38+17/15)
----------- => -------------
12/97 12

So the above value can be double either when 97 is doubled or 12 is halved because doubling the numerator (97) in this case doubles the fraction.

hence the answer is E.

[geeknick]

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 1/2 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?
a 1/2
b 2/3
c 3/4
d 4/5
e 5/6

[tim]

Actually, geeknick, we’re not going to answer that question in this thread. You need to start a new thread for a new problem, and be sure to cite the source of the problem, AND tell us what you tried and why the solution you encountered didn’t help..