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# Which of the following fractions is closest in value to the decimal 0.

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
Which of the following fractions is closest in value to the decimal 0.  [#permalink]

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15 Jan 2019, 01:26
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Difficulty:

35% (medium)

Question Stats:

68% (01:16) correct 32% (01:11) wrong based on 75 sessions

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Which of the following fractions is closest in value to the decimal 0.40?

A. 1/3
B. 4/7
C. 3/8
D. 5/9
E. 1/2

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Which of the following fractions is closest in value to the decimal 0.  [#permalink]

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15 Jan 2019, 06:45

Solution

To find:
• Which option is closest to 0.4

Approach and Working:
• $$\frac{1}{3} = 0.33$$

• $$\frac{4}{7} = 0.57$$

• $$\frac{3}{8} = 0.37$$

• $$\frac{5}{9} = 0.55$$

• $$\frac{1}{2} = 0.5$$

Therefore, $$\frac{3}{8}$$ is closest to 0.4.

Hence, the correct answer is Option C

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Re: Which of the following fractions is closest in value to the decimal 0.  [#permalink]

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15 Jan 2019, 07:26
Bunuel wrote:
Which of the following fractions is closest in value to the decimal 0.40?

A. 1/3
B. 4/7
C. 3/8
D. 5/9
E. 1/2

we observe that option c is closet

IMO C
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Which of the following fractions is closest in value to the decimal 0.  [#permalink]

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15 Jan 2019, 07:40
1
Bunuel wrote:
Which of the following fractions is closest in value to the decimal 0.40?

A. 1/3
B. 4/7
C. 3/8
D. 5/9
E. 1/2

The logic that we should approximate the values,helps in removing some answer options
B , D are out as they are > 1/2 (this logic helps us in difficult questions)

Remaining are
1/3 = 0.333
3/8 = 0.37 which is nearer to 0.40
1/2 = 0.50

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Re: Which of the following fractions is closest in value to the decimal 0.  [#permalink]

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21 Jan 2019, 18:54
Bunuel wrote:
Which of the following fractions is closest in value to the decimal 0.40?

A. 1/3
B. 4/7
C. 3/8
D. 5/9
E. 1/2

Since 1/2 = 0.5 and both 4/7 and 5/9 are greater than 1/2, we can eliminate choices B and D.

Since 1/3 = 0.333… and 3/8 = 0.375, we see that 3/8 is the fraction closest to 0.40.

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Re: Which of the following fractions is closest in value to the decimal 0.   [#permalink] 21 Jan 2019, 18:54
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