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What is 3/5 of 5/8 of 2/3?

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What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 21 Mar 2016, 07:16
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (00:31) correct 7% (01:14) wrong based on 281 sessions

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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 21 Mar 2016, 23:46
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9



3/5 * 5/8 * 2/3= 1/4

Answer: A
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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 19 Jun 2017, 07:00
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9


Just read carefully - 3/5 of 5/8 of 2/3 in correct order simply means if you have 5/8 of 2/3 then what is 3/5 of that?

5/8 x 2/3 = 10/24= 5/12 x 3/5 = 15/60 = 1/4

Thus
"A"
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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 19 Jun 2017, 09:26
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9


\(\frac{3}{5}*\frac{5}{8}*\frac{2}{3}\) = \(\frac{1}{4}\)

Thus, answer will be (A)
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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 19 Jun 2017, 10:48
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9

Seems simple, but I can see the possibility of arithmetic mistakes, so I suspect this question tests the rules that "of" = multiply, that order in this case does not matter (you don't have to calculate 5/8 of 2/3 first, e.g.), and that one should "cancel" before solving.

(3/5) * (5/8) * (2/3):

The two 3s, factored out (canceled), leave 1 in numerator and 1 in denominator

The two 5s, factored out, also leave 1 in both numerator and denominator

The 2, factored out of 2 and 8, leaves 1 in the numerator and 4 in the denominator:

(1/1) * (1/4) * (1/1) =

\(\frac{1 * 1 * 1}{1 * 4 * 1}\)

Answer A: \(\frac{1}{4}\)
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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 06 Jul 2017, 17:41
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9


Let’s first determine 3/5 of 5/8:

(3/5) x (5/8) = 3/8

Now let’s determine 3/8 of 2/3:

(3/8) x (2/3) = 1/4

Answer: A
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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 06 Jul 2017, 18:45
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9


\(\frac{3}{5} * \frac{5}{8} * \frac{2}{3} = \frac{2}{8} = \frac{1}{4}\). Ans - A.
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Re: What is 3/5 of 5/8 of 2/3?  [#permalink]

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New post 14 Jul 2017, 07:13
Bunuel wrote:
What is 3/5 of 5/8 of 2/3?

A. 1/4
B. 3/8
C. 9/16
D. 5/8
E. 16/9


Easy one of mean multiply
so
3/5*5/8*2/3
3/8*2/3
3/4*1/3
1/4
^^ Answer
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Re: What is 3/5 of 5/8 of 2/3?   [#permalink] 14 Jul 2017, 07:13
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