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# The ratio 2 to 1/3 is equal to the ratio

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Joined: 02 Sep 2009
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The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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20 Aug 2012, 02:03
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5% (low)

Question Stats:

95% (00:19) correct 5% (00:33) wrong based on 2034 sessions

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The ratio 2 to 1/3 is equal to the ratio

(A) 6 to 1
(B) 5 to 1
(e) 3 to 2
(D) 2 to 3
(E) 1 to 6

Practice Questions
Question: 22
Page: 155
Difficulty: 550

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Math Expert
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Posts: 64068
Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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20 Aug 2012, 02:04
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1
SOLUTION

The ratio 2 to 1/3 is equal to the ratio

(A) 6 to 1
(B) 5 to 1
(e) 3 to 2
(D) 2 to 3
(E) 1 to 6

$$\frac{2}{(\frac{1}{3})}=2*\frac{3}{1}=\frac{6}{1}$$.

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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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20 Aug 2012, 09:00
2
Solved by back substitution

2 of the answer choices have a "1" for the second part of the ratio. Only way this is possible is if both parts are multiplied by 3.

Thus 6 : 1

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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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09 Sep 2014, 23:05
Bunuel wrote:
The ratio 2 to 1/3 is equal to the ratio

(A) 6 to 1
(B) 5 to 1
(e) 3 to 2
(D) 2 to 3
(E) 1 to 6

Practice Questions
Question: 22
Page: 155
Difficulty: 550

2:(1/3)

multiply 3 both side -=== 6:1
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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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24 May 2016, 09:48
Bunuel wrote:
The ratio 2 to 1/3 is equal to the ratio

(A) 6 to 1
(B) 5 to 1
(e) 3 to 2
(D) 2 to 3
(E) 1 to 6

When setting up ratios, we can set up a ratio in fraction form. For example, if we were told the ratio of a to b is 1 to 2, we could say: a/b = ½.

Since we are given the ratio of 2 to 1/3, we can write this as:

2/(1/3)

We simplify this complex fraction by multiplying both the numerator and denominator by 3, obtaining:

(2 x 3)/1 = 6/1

Thus, the equivalent ratio is 6 to 1.

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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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12 Jun 2016, 03:34
1
Bunuel wrote:
The ratio 2 to 1/3 is equal to the ratio

(A) 6 to 1
(B) 5 to 1
(e) 3 to 2
(D) 2 to 3
(E) 1 to 6

Practice Questions
Question: 22
Page: 155
Difficulty: 550

$$2$$ : $$\frac{1}{3}$$

Multiply both sides by 3

$$2*3$$ : $$\frac{1}{3}*3$$

=> 6 : 1

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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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27 Jun 2017, 13:10
The ratio 2 to 1/3 is equal to the ratio

$$\frac{2}{(\frac{1}{3})}=2*\frac{3}{1}=\frac{6}{1}$$

Or Ratio of 6 to 1

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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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13 Jan 2018, 06:56
Top Contributor
Bunuel wrote:
The ratio 2 to 1/3 is equal to the ratio

(A) 6 to 1
(B) 5 to 1
(e) 3 to 2
(D) 2 to 3
(E) 1 to 6

2 to 1/3 = 2 : 1/3
= 2/(1/3)
= 2(3/1)
= 6/1
= 6 : 1
= 6 to 1

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Re: The ratio 2 to 1/3 is equal to the ratio  [#permalink]

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31 Oct 2018, 23:39
The ratio is 2: 1/3
We can also write it as:
2/(1/3) interpreted as 2 divided by 1/3
Now if we change the division sign, the fraction coming after (/) will also reverse
2*(3/1)

Since our denominator is 1, we can safely eliminate choices C, D and E here.

Out of A and B, we can also eliminate B because its numerator is 5 which is a prime number with exactly 2 factors 1 & 5.

2*3 = 6/1 or 6:1

Re: The ratio 2 to 1/3 is equal to the ratio   [#permalink] 31 Oct 2018, 23:39