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31/125 =

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Math Expert
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31/125 =  [#permalink]

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New post 24 Jan 2014, 02:55
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:56) correct 12% (01:08) wrong based on 750 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320

Problem Solving
Question: 58
Category: Arithmetic Operations on rational numbers
Page: 69
Difficulty: 500


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Re: 31/125 =  [#permalink]

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New post 24 Jan 2014, 02:55
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General Discussion
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Re: 31/125 =  [#permalink]

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New post 24 Jan 2014, 04:50
1
3
For the sake of time, we approximate 31 to 30. 30/125 = 6/25.
We multiply the fraction by 4 to get the denominator to 100 -> 24/100 = 24% = 0.24.

Since we rounded numerator down, the answer is a bit undervalued so the closest answer is (A). 0.248.
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Re: 31/125 =  [#permalink]

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New post 24 Jan 2014, 22:51
1
1
\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320


\(\frac{31}{125} = \frac{31*8}{125*8} = \frac{248}{1000} = 0.248\)

Answer: (A)
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Re: 31/125 =  [#permalink]

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New post 27 Jun 2015, 09:30
125 can simply be written as 1000/8
multiply 8 with 31 to get 248
divide it by 1000 to get .248
answer is A
simple one
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Re: 31/125 =  [#permalink]

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New post 20 Apr 2016, 07:54
Bunuel wrote:
SOLUTION

\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320

\(\frac{31}{125} =\frac{31*8}{125*8} =\frac{248}{1000} =0.248\).

Answer: A.

why do you choose to times by 8?
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Re: 31/125 =  [#permalink]

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New post 20 Apr 2016, 07:56
sabxu1 wrote:
Bunuel wrote:
SOLUTION

\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320

\(\frac{31}{125} =\frac{31*8}{125*8} =\frac{248}{1000} =0.248\).

Answer: A.

why do you choose to times by 8?


The options are in decimals. To transform a fraction to decimal the denominator must be some power of 10. 125*8 = 1000.
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31/125 =  [#permalink]

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New post 20 Apr 2016, 23:03
Bunuel wrote:
sabxu1 wrote:
Bunuel wrote:
SOLUTION

\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320

\(\frac{31}{125} =\frac{31*8}{125*8} =\frac{248}{1000} =0.248\).

Answer: A.

why do you choose to times by 8?


The options are in decimals. To transform a fraction to decimal the denominator must be some power of 10. 125*8 = 1000.


do you times i by 8 because you want to get to an easy number such as 1000?
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Re: 31/125 =  [#permalink]

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New post 20 Apr 2016, 23:11
sabxu1 wrote:
Bunuel wrote:
sabxu1 wrote:
why do you choose to times by 8?


The options are in decimals. To transform a fraction to decimal the denominator must be some power of 10. 125*8 = 1000.


do you times i by 8 because you want to get to an easy number such as 1000?


As I said, we multiply by 8 to get in the denominator some power of 10 to transform the fraction into the decimal easily.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: 31/125 =  [#permalink]

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New post 21 Apr 2016, 00:50
1
sabxu1 wrote:
Bunuel wrote:
SOLUTION

\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320

\(\frac{31}{125} =\frac{31*8}{125*8} =\frac{248}{1000} =0.248\).

Answer: A.

why do you choose to times by 8?


Since the options are all in the decimal forms, we need to divide the numerator by denominator.
If we have a calculator, we can directly divide it. But since we are not allowed a calculator, we need to make our lives simpler.

Hence we try to bring denominator in a form by which the division becomes easier.
125 = 5^3
If we multiply 5^3 by 2^3, we get 10^3 or 1000 and then we can easily divide.

Hope this clarifies your doubt.
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Re: 31/125 =  [#permalink]

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New post 09 Jun 2017, 22:40
1
Bunuel wrote:
\(\frac{31}{125} =\)

(A) 0.248
(B) 0.252
(C) 0.284
(D) 0.312
(E) 0.320


\(\frac{31}{125}\)

\(~ \frac{31}{124}\)

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

\(=0.25\)

Thus, answer will be (A) 0.248
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Re: 31/125 =  [#permalink]

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New post 21 Jun 2017, 07:17
In case someone is interested in a more detailed approach.

\(\frac{31}{125} = \frac{30}{125}+\frac{1}{125}

= \frac{6}{25}+\frac{1}{125}

= \frac{5}{25} + \frac{1}{25} + \frac{1}{125}

= \frac{1}{5}+ \frac{1}{25} + \frac{1}{125}\)

\(= 0.2 + \frac{0.2}{5}+ \frac{1}{125} = 0.2 +0.04 + \frac{1}{125} = 0.24 + \frac{1}{125}\)

= a little over 0.24

= Option A
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Re: 31/125 =  [#permalink]

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New post 06 Sep 2018, 12:18
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Re: 31/125 = &nbs [#permalink] 06 Sep 2018, 12:18
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