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# The ratio 1/3 to 3/8 of is equal to the ratio of

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Math Expert
Joined: 02 Sep 2009
Posts: 45498
The ratio 1/3 to 3/8 of is equal to the ratio of [#permalink]

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08 May 2018, 01:43
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Difficulty:

25% (medium)

Question Stats:

73% (00:12) correct 27% (00:20) wrong based on 52 sessions

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The ratio $$\frac{1}{3}$$ to $$\frac{3}{8}$$ of is equal to the ratio of

A. 1 to 8
B. 8 to 1
C. 8 to 3
D. 8 to 9
E. 9 to 8

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1257
Re: The ratio 1/3 to 3/8 of is equal to the ratio of [#permalink]

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08 May 2018, 03:02

Solution

To find:
• The ratio of $$\frac{1}{3} and \frac{3}{8}$$, in the form of another ratio

Approach and Working:
• $$\frac{1}{3} : \frac{3}{8} = \frac{1}{3} * \frac{8}{3} = \frac{8}{9}$$= 8 to 9

Hence, the correct answer is option D.

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Re: The ratio 1/3 to 3/8 of is equal to the ratio of [#permalink]

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09 May 2018, 16:50
Bunuel wrote:
The ratio $$\frac{1}{3}$$ to $$\frac{3}{8}$$ of is equal to the ratio of

A. 1 to 8
B. 8 to 1
C. 8 to 3
D. 8 to 9
E. 9 to 8

(1/3)/(3/8) = 8/9.

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Joined: 22 May 2016
Posts: 1680
The ratio 1/3 to 3/8 of is equal to the ratio of [#permalink]

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13 May 2018, 16:12
Bunuel wrote:
The ratio $$\frac{1}{3}$$ to $$\frac{3}{8}$$ of is equal to the ratio of

A. 1 to 8
B. 8 to 1
C. 8 to 3
D. 8 to 9
E. 9 to 8

Ratios of fractions are just like ratios of integers.
$$A:B = \frac{A}{B}$$

So $$(\frac{1}{3}:\frac{3}{8})=\frac{(\frac{1}{3})}{(\frac{3}{8})}=\frac{1}{3}*\frac{8}{3}=\frac{8}{9}=(8:9)$$

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The ratio 1/3 to 3/8 of is equal to the ratio of   [#permalink] 13 May 2018, 16:12
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