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

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1/2(3/4/2/3) / 2/9  [#permalink]

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New post 25 Nov 2018, 10:13
00:00
A
B
C
D
E

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) \(\frac{1}{18}\)

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New post 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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1/2(3/4/2/3) / 2/9   [#permalink] 25 Nov 2018, 13:11
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