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# M24-20

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Math Expert
Joined: 02 Sep 2009
Posts: 58445

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16 Sep 2014, 01:21
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Difficulty:

5% (low)

Question Stats:

87% (01:01) correct 13% (00:42) wrong based on 68 sessions

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Which of the following fractions is the largest?

A. $$\frac{11}{27}$$
B. $$\frac{4}{9}$$
C. $$\frac{1}{3}$$
D. $$\frac{25}{81}$$
E. $$\frac{3}{20}$$

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Math Expert
Joined: 02 Sep 2009
Posts: 58445

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16 Sep 2014, 01:21
Official Solution:

Which of the following fractions is the largest?

A. $$\frac{11}{27}$$
B. $$\frac{4}{9}$$
C. $$\frac{1}{3}$$
D. $$\frac{25}{81}$$
E. $$\frac{3}{20}$$

Obviously $$\frac{3}{20}$$ is the smallest number. So, we should compare the remaining four. The lowest common denominator of these fractions is 81:

A. $$\frac{11}{27}= \frac{33}{81}$$

B. $$\frac{4}{9}= \frac{36}{81}$$

C. $$\frac{1}{3}= \frac{27}{81}$$

D. $$\frac{25}{81}= \frac{25}{81}$$

We can see that option B offers the largest number.

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Senior Manager
Joined: 08 Jun 2015
Posts: 420
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33

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03 May 2018, 07:36
+1 for option B. Convert fractions to common denominator and compare. 4/9 has the highest value ! Hence option B
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" The few , the fearless "
Senior Manager
Joined: 13 Feb 2018
Posts: 450
GMAT 1: 640 Q48 V28

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19 Feb 2019, 05:20
IMO very useful concept to learn

$$\frac{a}{b}$$>$$\frac{c}{d}$$ if ad>cb

Example: Is $$\frac{4}{9}$$>$$\frac{3}{7}$$ ?
4*7>9*3

Regards
L
Re: M24-20   [#permalink] 19 Feb 2019, 05:20
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# M24-20

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