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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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Retired Moderator
Joined: 07 Jun 2014
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GRE 1: Q167 V156
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If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ? [#permalink]  31 May 2017, 06:46
Expert's post
00:00

Question Stats:

92% (00:43) correct 7% (01:22) wrong based on 40 sessions
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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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3037 [0], given: 394

Re: If a/b=11/6 and b/c=4/3 , then what is the ratio of a to c ? [#permalink]  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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Sandy
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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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Expert's post
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 – Creator of greenlighttestprep.com

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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