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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: 52390
Which of the following fractions has a value less than 6/3^2*7^3 ?  [#permalink]

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11 Jan 2018, 22:46
00:00

Difficulty:

35% (medium)

Question Stats:

73% (02:12) correct 27% (02:18) wrong based on 46 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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Joined: 07 Dec 2017
Posts: 868
Re: Which of the following fractions has a value less than 6/3^2*7^3 ?  [#permalink]

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12 Jan 2018, 07:27
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)

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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, 07:27
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