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Which of the following operations carried out on both

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Which of the following operations carried out on both [#permalink] New post 15 May 2016, 17:28
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77% (00:27) correct 22% (00:25) wrong based on 106 sessions
Which of the following operations carried out on both the numerator and the denominator of a fraction will always produce an equivalent fraction?

Indicate all such operations.

A. Adding 2
B. Multiplying by 5
C. Dividing by 100



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Question: 14
Page: 64
[Reveal] Spoiler: OA

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Re: Which of the following operations carried out on both [#permalink] New post 12 Jun 2019, 11:05
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Explanation

A. Adding 2
If we start with: 1/2
And add 2 to the numerator and the denominator, we get: 3/4
3/4 is NOT equivalent to 1/2
Statement A is NOT true
------------------------------

B. Multiplying by 5
If we start with: x/y
And multiply the numerator and the denominator by 5, we get: 5x/5y
Since 5x/5y and x/y are equivalent fractions, statement B is TRUE
-------------------------------------------

C. Dividing by 100
If we start with: x/y
And divide the numerator and the denominator by 100, we get: (x/100)/(y/100)
(x/100)/(y/100) = (x/100)(100/y) = 100x/100y
Since 100x/100y and x/y are equivalent fractions, statement C is TRUE

Answer: B & C

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Re: Which of the following operations carried out on both [#permalink] New post 14 Jan 2020, 20:47
If you MULTIPLY a fraction by a new number in both numerator and denominator, the new number will cross out.
for example, if you multiply [a][/b] by 5 in both numerator and denominator, it becomes
[a*5][/b*5]
That means numerator 5 will be crossed out by denominator 5. and only [a][/b] remains.

Same rules application for DIVIDING.
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Re: Which of the following operations carried out on both [#permalink] New post 15 Jan 2020, 02:42
I think B and C are the answers because multiply and divide in both the denominator and numerator cancels the additional operations leaving the fraction same.
Re: Which of the following operations carried out on both   [#permalink] 15 Jan 2020, 02:42
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Which of the following operations carried out on both

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