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1/2(3/4/2/3) / 2/9

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Retired Moderator
Joined: 22 Jun 2014
Posts: 1093
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)

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25 Nov 2018, 10:13
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:51) correct 7% (01:08) wrong based on 110 sessions

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$$\frac{\frac{1}{2}(\frac{\frac{3}{4}}{\frac{2}{3}})}{\frac{2}{9}}$$ =

(A) $$\frac{81}{32}$$
(B) $$\frac{9}{4}$$
(C) $$\frac{9}{8}$$
(D) $$\frac{1}{8}$$
(E) $$\frac{1}{18}$$

Project PS Butler : Question #40

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Joined: 26 Feb 2016
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25 Nov 2018, 13:11
1
We have to solve this problem by BODMAS(Bracket - Of - Division - Multiplication - Add - Substract)

First step will be to simplify inside the bracket -> $$\frac{\frac{3}{4}}{\frac{2}{3}} = {\frac{3}{4}}*{\frac{3}{2}} = \frac{9}{8}$$

Second step will be to simplify the numerator -> $$\frac{1}{2}*\frac{9}{8} = \frac{9}{16}$$

Third step will be to simplify the expression -> $$\frac{\frac{9}{16}}{\frac{2}{9}} = {\frac{9}{16}}*{\frac{9}{2}} = {\frac{81}{32}}$$ (Option A)
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