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Which of the following fractions has the greatest value?
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06 Jun 2014, 12:45
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Which of the following fractions has the greatest value?
(A) \(\frac{1}{(3^2)(5^2)}\)
(B) \(\frac{2}{(3^2)(5^2)}\)
(C) \(\frac{7}{(3^3)(5^2)}\)
(D)\(\frac{45}{(3^3)(5^3)}\)
(E) \(\frac{75}{(3^4)(5^5)}\)
PS11561
(A) \(\frac{1}{(3^2)(5^2)}\)
(B) \(\frac{2}{(3^2)(5^2)}\)
(C) \(\frac{7}{(3^3)(5^2)}\)
(D)\(\frac{45}{(3^3)(5^3)}\)
(E) \(\frac{75}{(3^4)(5^5)}\)
PS11561
Re: Which of the following fractions has the greatest value?
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06 Jun 2014, 13:05
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Expert Reply
MensaNumber wrote:
Which of the following fractions has the greatest value?
(A) \(\frac{1}{(3^2)(5^2)}\)
(B) \(\frac{2}{(3^2)(5^2)}\)
(C) \(\frac{7}{(3^3)(5^2)}\)
(D)\(\frac{45}{(3^3)(5^3)}\)
(E) \(\frac{75}{(3^4)(5^5)}\)
(A) \(\frac{1}{(3^2)(5^2)}\)
(B) \(\frac{2}{(3^2)(5^2)}\)
(C) \(\frac{7}{(3^3)(5^2)}\)
(D)\(\frac{45}{(3^3)(5^3)}\)
(E) \(\frac{75}{(3^4)(5^5)}\)
(A) \(\frac{1}{(3^2)(5^2)}\)
(B) \(\frac{2}{(3^2)(5^2)}\)
(C) \(\frac{7}{(3^3)(5^2)}=\frac{\approx{2.3}}{(3^2)(5^2)}\)
(D) \(\frac{45}{(3^3)(5^3)}=\frac{3}{(3^2)(5^2)}\)
(E) \(\frac{75}{(3^4)(5^5)}=\frac{1}{(3^3)(5^3)}\)
D is the greatest.
Answer: D.
Similar question: which-of-the-following-fractions-has-the-greatest-value-160537.html
General Discussion
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Re: Which of the following fractions has the greatest value?
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06 Jun 2014, 13:07
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Should be D.
Multiply Numerator and Denominator of B by 3 , You will get 6/3^3*5^2 which is less than c.
SO A and B are ruled out.
Simplify D and you will get 1/3*5^2 for E you will get 7/3^3*5^2
So you can easily compare the last three and get to D.
Multiply Numerator and Denominator of B by 3 , You will get 6/3^3*5^2 which is less than c.
SO A and B are ruled out.
Simplify D and you will get 1/3*5^2 for E you will get 7/3^3*5^2
So you can easily compare the last three and get to D.