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If the value of the expression above is to be halved by dou

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If the value of the expression above is to be halved by dou [#permalink]  03 Jun 2017, 08:09
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Question Stats:

87% (01:04) correct 12% (01:03) wrong based on 8 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

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Re: If the value of the expression above is to be halved by dou [#permalink]  27 Sep 2017, 08:45
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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!
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Re: If the value of the expression above is to be halved by dou [#permalink]  28 Sep 2017, 17:30
can you explain in detail please?
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Re: If the value of the expression above is to be halved by dou [#permalink]  28 Sep 2017, 20:12
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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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Re: If the value of the expression above is to be halved by dou   [#permalink] 28 Sep 2017, 20:12
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