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Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by

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Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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New post 10 Jan 2016, 08:43
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A
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C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:53) correct 40% (00:54) wrong based on 152 sessions

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Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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New post 10 Jan 2016, 08:52
1
Bunuel wrote:
Dividing by 3⁄8 and then multiplying by 5⁄6 is the same as dividing by what number?

A. 31⁄5
B. 16⁄5
C. 20⁄9
D. 9⁄20
E. 5⁄16



Ans C

say X/3/8*5/6 = x*8/3*5/6 = x*20/9

Am i correct?
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Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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New post 16 Aug 2017, 17:59
Bunuel wrote:
Dividing by 3⁄8 and then multiplying by 5⁄6 is the same as dividing by what number?

A. 31⁄5
B. 16⁄5
C. 20⁄9
D. 9⁄20
E. 5⁄16

I can't formulate the pithy one-sentence explanation here (never fear, someone will be along shortly to do so after I bump up the question), but the correct answer is 9/20.

Use 1 to test.

\(\frac{1}{\frac{3}{8}}\) * \(\frac{5}{6}\) =

1 * \(\frac{8}{3}\) * \(\frac{5}{6}\) = \(\frac{40}{18}\), or \(\frac{20}{9}\)

So what must 1 be divided by to yield the same number, \(\frac{20}{9}\)?

Short answer: the reciprocal of the latter, \(\frac{9}{20}\). Or

\(\frac{1}{x}\) = \(\frac{20}{9}\)

Either flip or cross multiply:

9 = 20x

x =\(\frac{9}{20}\)

1 divided by \(\frac{3}{8}\) and multiplied by \(\frac{5}{6}\) (= 20/9) is the same as 1 divided by \(\frac{9}{20}\) (=20/9)

Answer D
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Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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New post 19 Aug 2017, 10:19
I'm getting the same answer as well = 20/9 but the correct answer is showing as 9/20 Bunuel can you help?

Praveengeol wrote:
Bunuel wrote:
Dividing by 3⁄8 and then multiplying by 5⁄6 is the same as dividing by what number?

A. 31⁄5
B. 16⁄5
C. 20⁄9
D. 9⁄20
E. 5⁄16



Ans C

say X/3/8*5/6 = x*8/3*5/6 = x*20/9

Am i correct?
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Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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New post 19 Aug 2017, 10:29
1
1
tarae22 wrote:
I'm getting the same answer as well = 20/9 but the correct answer is showing as 9/20 Bunuel can you help?

Praveengeol wrote:
Bunuel wrote:
Dividing by 3⁄8 and then multiplying by 5⁄6 is the same as dividing by what number?

A. 31⁄5
B. 16⁄5
C. 20⁄9
D. 9⁄20
E. 5⁄16



Ans C

say X/3/8*5/6 = x*8/3*5/6 = x*20/9

Am i correct?


D is correct. So, we got that if we divide x by 3/8 and multiply by 5/6, we'll get \(\frac{20}{9}*x\). The question asks: by what number we should divide x to get \(\frac{29}{9}*x\)? The answer is \(\frac{9}{20}\):

\(\frac{x}{(\frac{9}{20})} = \frac{20}{9}*x\).

Answer: D.
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Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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New post 19 Aug 2017, 10:44
let number be x
(x/(3/8) )x(5/6) = x*(1/y)
y=9/20

Ans is D
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Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by   [#permalink] 19 Aug 2017, 10:44
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