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Which of the following lists three fractions in ascending order?

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Which of the following lists three fractions in ascending order?  [#permalink]

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New post 15 Jan 2019, 01:34
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:15) correct 26% (01:27) wrong based on 55 sessions

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Which of the following lists three fractions in ascending order?  [#permalink]

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New post 15 Jan 2019, 06:51
1

Solution


To find:
    • Which option lists fractions in ascending order

Approach and Working:
    • \(\frac{9}{26}\)

    • \(\frac{1}{4} = \frac{9}{4*9} = \frac{9}{36}\)

    • \(\frac{3}{10} = \frac{3*3}{10*3} = \frac{9}{30}\)

Thus, \(\frac{9}{26} > \frac{9}{30} > \frac{9}{36}\)
    • Therefore, ascending order of these numbers will be \(\frac{1}{4}, \frac{3}{10}, \frac{9}{26}\)

Hence, the correct answer is Option D

Answer: D

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Re: Which of the following lists three fractions in ascending order?  [#permalink]

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New post 15 Jan 2019, 07:25
Bunuel wrote:
Which of the following lists three fractions in ascending order?


A. 9/26, 1/4, 3/10

B. 9/26, 3/10, 1/4

C. 1/4, 9/26, 3/10

D. 1/4, 3/10, 9/26

E. 3/10, 9/26, 1/4



9/26
multiply nr & dr by same integer to get nr as 9 in 1/4 ad 3/10
9/26, 9/36 , 9/30

so 9/26>9/30>9/36
or say 1/4<3/10< 9/26
IMO D
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Re: Which of the following lists three fractions in ascending order?  [#permalink]

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New post 17 Jan 2019, 19:07
Bunuel wrote:
Which of the following lists three fractions in ascending order?


A. 9/26, 1/4, 3/10

B. 9/26, 3/10, 1/4

C. 1/4, 9/26, 3/10

D. 1/4, 3/10, 9/26

E. 3/10, 9/26, 1/4


First we can see that 1/4, or 0.25, is less than 3/10, or 0.3, so we can eliminate answer choices B and E.

Now we need to determine which is greater, 3/10 or 9/26. Getting common numerators,we have:

3/10 = 9/30

We compare 9/30 to 9/26. The one with the smaller denominator has the greater value. So we see that 9/26 is greater than 3/10.

Answer: D
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Re: Which of the following lists three fractions in ascending order?   [#permalink] 17 Jan 2019, 19:07
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