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

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Math Expert
Joined: 02 Sep 2009
Posts: 54493
Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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10 Jan 2016, 08:43
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Difficulty:

45% (medium)

Question Stats:

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

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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

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Joined: 02 Jun 2015
Posts: 62
Location: United States
Concentration: Strategy, Human Resources
WE: Engineering (Manufacturing)
Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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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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Joined: 22 May 2016
Posts: 2651
Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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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)

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Joined: 25 Oct 2016
Posts: 1
Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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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?
Math Expert
Joined: 02 Sep 2009
Posts: 54493
Re: Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by  [#permalink]

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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 $$\frac{9}{20}$$:

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

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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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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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