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0.250/0.333 divided by 0.125/0.167 is most nearly

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Math Expert

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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, 22:12

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85% (00:58) correct

15% (01:10) wrong

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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

Spoiler: OA

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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, 22:31

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, 00:21

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, 09:30

answer is C

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

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

$\frac{3}{4}$ / $\frac{3}{4}$ = 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, 10:59

0.250/0.333 / 0.125/0.167

= .250/.333

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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, 11:24

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, 19:52

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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22 Feb 2018, 23:35

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

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26 Feb 2018, 09:47

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

Answer: C
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