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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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SVP
SVP
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Joined: 07 Jun 2014
Posts: 1842
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 40

Kudos [?]: 615 [0], given: 121

If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ? [#permalink] New post 31 May 2017, 06:46
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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


[Reveal] Spoiler: OA
\frac{22}{9}

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Sandy
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SVP
SVP
User avatar
Joined: 07 Jun 2014
Posts: 1842
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 40

Kudos [?]: 615 [0], given: 121

Re: If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ? [#permalink] New post 02 Jul 2017, 14:48
Expert's post
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!
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Re: If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ? [#permalink] New post 04 Jul 2017, 15:38
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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


[Reveal] Spoiler: 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
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Brent Hanneson – Founder of greenlighttestprep.com

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Re: If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ?   [#permalink] 04 Jul 2017, 15:38
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