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# Which of the following fractions has a value less than 6/3^2*7^3 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 49320
Which of the following fractions has a value less than 6/3^2*7^3 ?  [#permalink]

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11 Jan 2018, 23:46
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Difficulty:

35% (medium)

Question Stats:

67% (01:31) correct 33% (01:23) wrong based on 43 sessions

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Which of the following fractions has a value less than $$\frac{6}{3^2*7^3}$$ ?

A. $$\frac{14}{3*7^4}$$

B. $$\frac{2}{3*7^3}$$

C. $$\frac{45}{3^5*7^3}$$

D. $$\frac{19}{3^3*7^3}$$

E. $$\frac{132}{3^3*7^4}$$

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Re: Which of the following fractions has a value less than 6/3^2*7^3 ?  [#permalink]

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12 Jan 2018, 08:27
Bunuel wrote:
Which of the following fractions has a value less than $$\frac{6}{3^2*7^3}$$ ?

A. $$\frac{14}{3*7^4}$$

B. $$\frac{2}{3*7^3}$$

C. $$\frac{45}{3^5*7^3}$$

D. $$\frac{19}{3^3*7^3}$$

E. $$\frac{132}{3^3*7^4}$$

As this looks like a very technical question, we'll work with the expressions.
This is a Precise approach.

We'll simplify the answers one by one and compare to our fraction.

(A) simplifies to $$\frac{2}{3*7^3}$$. No good!

(B) is already simplified and we can see it is larger.

(C) simplifies to $$\frac{5}{3^3*7^3}$$. Yes!
This must be our answer, no need to check (D) and (E)

(C) is our answer.
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Re: Which of the following fractions has a value less than 6/3^2*7^3 ? &nbs [#permalink] 12 Jan 2018, 08:27
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# Which of the following fractions has a value less than 6/3^2*7^3 ?

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