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# 0.250/0.333 divided by 0.125/0.167 is most nearly

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Math Expert
Joined: 02 Sep 2009
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0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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21 Feb 2018, 23:12
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Difficulty:

15% (low)

Question Stats:

86% (00:58) correct 14% (01:10) wrong based on 75 sessions

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$$\frac{0.250}{0.333}$$ divided by $$\frac{0.125}{0.167}$$ is most nearly

(A) 10

(B) 5

(C) 1

(D) 0.667

(E) 0.500

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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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21 Feb 2018, 23:31
Bunuel wrote:
$$\frac{0.250}{0.333}$$ divided by $$\frac{0.125}{0.167}$$ is most nearly

(A) 10

(B) 5

(C) 1

(D) 0.667

(E) 0.500

0.250/0.333 / 0.125/0.167 = .250/.333 * .167/.125 = 2/2 ~ 1

(C) imo
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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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22 Feb 2018, 01:21
1
Bunuel wrote:
$$\frac{0.250}{0.333}$$ divided by $$\frac{0.125}{0.167}$$ is most nearly

(A) 10

(B) 5

(C) 1

(D) 0.667

(E) 0.500

Simplifying the numerator, $$\frac{0.250}{0.333} = \frac{2(0.125)}{2(0.167)} = \frac{0.125}{0.167}$$

Now, when $$\frac{0.125}{0.167}$$ is divided by $$\frac{0.250}{0.333}$$ which has been simplified to $$\frac{0.125}{0.167}$$, we will get $$\frac{0.125}{0.167} * \frac{0.167}{0.125} = 1$$

Therefore, the value is nearly 1(Option C)
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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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22 Feb 2018, 10:30
1

$$\frac{0.250}{0.333}$$ =$$\frac{1}{4}$$/$$\frac{1}{3}$$ = $$\frac{3}{4}$$

$$\frac{0.125}{0.167}$$ =$$\frac{1}{8}$$/$$\frac{1}{6}$$ = $$\frac{3}{4}$$

$$\frac{3}{4}$$ / $$\frac{3}{4}$$ = 1
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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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22 Feb 2018, 11:59
1
0.250/0.333 / 0.125/0.167

= .250/.333

---1
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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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22 Feb 2018, 12:24
don't complicate
that's 1/4 * 3/1 = 3/4 divided by 6/8 or 3/4
that is 3/4 * 4/3 = 1
C
pretty straightforward if you know how to convert the decimals into fractions.
C
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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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22 Feb 2018, 20:52
If we cancel out the numerator and denominator , we will get 2/2 which is 1

Ans: C
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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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23 Feb 2018, 00:35
Bunuel wrote:
$$\frac{0.250}{0.333}$$ divided by $$\frac{0.125}{0.167}$$ is most nearly

(A) 10

(B) 5

(C) 1

(D) 0.667

(E) 0.500

IMO C as 250*167/333*125
=2*167/333
=334/333 approx 1
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Posts: 2815
Re: 0.250/0.333 divided by 0.125/0.167 is most nearly  [#permalink]

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26 Feb 2018, 10:47
Bunuel wrote:
$$\frac{0.250}{0.333}$$ divided by $$\frac{0.125}{0.167}$$ is most nearly

(A) 10

(B) 5

(C) 1

(D) 0.667

(E) 0.500

Recall that 0.250 = ¼, 0.125 = ⅛, 0.333 ≈ ⅓ and 0.167 ≈ ⅙, therefore,

(0.250/0.333) / (0.125/0.167) ≈ (¼/⅓)/(⅛/⅙) = (¼ x 3)/(⅛ x 6) = (¾)/(¾) = 1

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Re: 0.250/0.333 divided by 0.125/0.167 is most nearly   [#permalink] 26 Feb 2018, 10:47
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