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jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
Posts: 1,324
Given Kudos: 355
Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
D
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Which of the following fractions has the greatest value?
(A) \(\frac{6}{(2^2)(5^2)}\)
(B) \(\frac{1}{(2^3)(5^2)}\)
(C) \(\frac{28}{(2^2)(5^3)}\)
(D) \(\frac{62}{(2^3)(5^3)}\)
(E) \(\frac{122}{(2^4)(5^3)}\)
(A) \(\frac{6}{(2^2)(5^2)}\)
(B) \(\frac{1}{(2^3)(5^2)}\)
(C) \(\frac{28}{(2^2)(5^3)}\)
(D) \(\frac{62}{(2^3)(5^3)}\)
(E) \(\frac{122}{(2^4)(5^3)}\)
26 Sep 2013, 01:17
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jlgdr
Which of the following fractions has the greatest value?
(A) \(\frac{6}{(2^2)(5^2)}\)
(B) \(\frac{1}{(2^3)(5^2)}\)
(C) \(\frac{28}{(2^2)(5^3)}\)
(D) \(\frac{62}{(2^3)(5^3)}\)
(E) \(\frac{122}{(2^4)(5^3)}\)
(A) \(\frac{6}{(2^2)(5^2)}\)
(B) \(\frac{1}{(2^3)(5^2)}\)
(C) \(\frac{28}{(2^2)(5^3)}\)
(D) \(\frac{62}{(2^3)(5^3)}\)
(E) \(\frac{122}{(2^4)(5^3)}\)
The least common denominator is (2^4)(5^3).
(A) \(\frac{6}{(2^2)(5^2)}=\frac{6*2^2*5}{(2^4)(5^3)}=\frac{120}{(2^4)(5^3)}\)
(B) \(\frac{1}{(2^3)(5^2)}=\frac{2*5}{(2^4)(5^3)}=\frac{10}{(2^4)(5^3)}\)
(C) \(\frac{28}{(2^2)(5^3)}=\frac{28*2^2}{(2^4)(5^3)}=\frac{112}{(2^4)(5^3)}\)
(D) \(\frac{62}{(2^3)(5^3)}=\frac{62*2}{(2^4)(5^3)}=\frac{124}{(2^4)(5^3)}\)
(E) \(\frac{122}{(2^4)(5^3)}\)
Now, we only need to compare the numerators: 124 is the greatest.
Answer: D.
General Discussion
09 Feb 2015, 23:37
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the highest numerator and lowest denominator wins:
A) 6/100
B) 1/200 (certainly less than A)
C) 28/500 (denominator 5 times more but numerator less than 5 times than A, so less than A)
D) 62/1000 (denominator 10 times more but numerator >10 times more than A, so more than A)
E) 122/2000 (denominator 2 times more but numerator <2 times more than D, so less than D)
D
A) 6/100
B) 1/200 (certainly less than A)
C) 28/500 (denominator 5 times more but numerator less than 5 times than A, so less than A)
D) 62/1000 (denominator 10 times more but numerator >10 times more than A, so more than A)
E) 122/2000 (denominator 2 times more but numerator <2 times more than D, so less than D)
D
