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If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ?
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31 May 2017, 06:46
31 May 2017, 06:46
Expert Reply
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Question Stats:
92% (00:49) correct
7% (01:46) wrong based on 63 sessions
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If \(\frac{a}{b}=\frac{11}{6}\) and \(\frac{b}{c}=\frac{4}{3}\), then what is the ratio of a to c ?
Drill 2
Question: 10
Page: 342
Question: 10
Page: 342
Show: :: OA
\(\frac{22}{9}\)
Re: If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ?
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02 Jul 2017, 14:48
02 Jul 2017, 14:48
Expert Reply
Explanation
The common element between both proportions is b, so that’s what you’ll want to start with. However, the numerical value of b does not match from proportion to proportion, so you’ll essentially want to find a common multiple for both values of b. Both 4 and 6 are factors of 12, so use 12 as your common multiple. For the first proportion, you’ll need to double it in order to make b = 12. When you do so, a = 22. For the second proportion, you’ll need to triple it to make b = 12. Therefore, c = 9. Now that the two proportions have the same value for b, you know that a:c equals 22:9, which can be written as a fraction.
Hence answer is \(\frac{22}{9}\) correct!
The common element between both proportions is b, so that’s what you’ll want to start with. However, the numerical value of b does not match from proportion to proportion, so you’ll essentially want to find a common multiple for both values of b. Both 4 and 6 are factors of 12, so use 12 as your common multiple. For the first proportion, you’ll need to double it in order to make b = 12. When you do so, a = 22. For the second proportion, you’ll need to triple it to make b = 12. Therefore, c = 9. Now that the two proportions have the same value for b, you know that a:c equals 22:9, which can be written as a fraction.
Hence answer is \(\frac{22}{9}\) correct!
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Re: If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ?
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04 Jul 2017, 15:38
04 Jul 2017, 15:38
2
sandy wrote:
If \(\frac{a}{b}=\frac{11}{6}\) and \(\frac{b}{c}=\frac{4}{3}\), then what is the ratio of a to c ?
Drill 2
Question: 10
Page: 342
Question: 10
Page: 342
Show: :: OA
\(\frac{22}{9}\)
Notice that (a/b)(b/c) = a/c
Given: a/b = 11/6 and b/c = 4/3
So, (a/b)(b/c) = (11/6)(4/3)
= 44/18
= a/c
So, the ratio a to c = 44 to 18
On the GRE, you would be asked to express the ratio as a FRACTION.
So, we could just enter 44/18
IMPORTANT: When entering fractions on numeric entry questions, we aren't required to simplify the fraction.
So, 44/18, 22/9 and even 440/180 are all considered correct responses.
Cheers,
Brent
