Get detailed explanations to advanced GMAT questions.

Which of the following fractions has the greatest value?

Option A:

1/(3^2*5^2)

Option B:

2/(3^2*5^2)

Option C:

7/(3^3*5^2)

Option D:

45/(3^3*5^3)

Option E:

75/(3^4*5^3)

Option D is the correct answer.

Since all the options have denominator 3^2 * 5^2,

Multiply all the options with 3^2*5^2

A. 1/(3^2*5^2) = 1

B. 2/(3^2*5^2) = 2

C. 7/(3^3*5^2) = 7/3

D. 45/(3^3*5^3) = 45 / 15 = 3. So this is the greatest.

E. 75/(3^4*5^3) = 5 /3.

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