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Founder  Joined: 18 Apr 2015
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If the value of the expression above is to be halved by dou [#permalink]
Expert's post 00:00

Question Stats: 74% (00:41) correct 25% (01:00) wrong based on 31 sessions

$$\frac{a + \frac{b}{c}}{\frac{d}{e}}$$

If the value of the expression above is to be halved by doubling exactly one of the five numbers a, b, c, d, or e, which should be doubled?

A) a

B) b

C) c

D) d

E) e
[Reveal] Spoiler: OA

_________________ Director Joined: 03 Sep 2017
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Re: If the value of the expression above is to be halved by dou [#permalink]
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What we want to get is $$\frac{\frac{a + \frac{b}{c}}{\frac{d}{e}}}{2}$$. This has to be achieved by doubling one of the variables. This means that we have to double a variable so that the 2 becomes the denominator of our expression. The only way to obtain it is to double D, so that, since it is a fraction at the denominator, it is as we were multiplying for the reciprocal of the fraction. Then, answer B!
Intern Joined: 26 Sep 2017
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Re: If the value of the expression above is to be halved by dou [#permalink]
can you explain in detail please? Director Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: If the value of the expression above is to be halved by dou [#permalink]
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Carcass wrote:

$$\frac{a + \frac{b}{c}}{\frac{d}{e}}$$

If the value of the expression above is to be halved by doubling exactly one of the five numbers a, b, c, d, or e, which should be doubled?

Under normal circumstances, there are 2 ways to halve a fraction:

1) Half the numerator

or 2) Double the denominator

Here

The denominator = D/E

so by doubling the denominator the overall fraction will be halved
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