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The number 3/4 is what fraction of its reciprocal?

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hkhanexam
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The number 3/4 is what fraction of its reciprocal? [#permalink] New post   30 Sep 2020, 04:43
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The number 3/4 is what fraction of its reciprocal?

A) 9/16
B) 3/4
C) 1
D) 4/3
E) 16/9
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A
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prateekchugh
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Re: The number 3/4 is what fraction of its reciprocal? [#permalink] New post   30 Sep 2020, 05:09
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The number 3/4 is what fraction of its reciprocal?

The number 3/4; =(is); x (what) /(fraction) 3/4(of its reciprocal)

\(\frac{3}{4}= \frac{x}{(3/4)}\)

x= \(\frac{9}{16}\)
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Re: The number 3/4 is what fraction of its reciprocal? [#permalink] New post   30 Sep 2020, 05:18
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Flip the fraction and make it the numerator.
(3/4)/(4/3)
= (3*3)/(4*4)
=9/16
hence, A is the answer.
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The number 3/4 is what fraction of its reciprocal? [#permalink] New post   30 Sep 2020, 06:02
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Given

• The number \(¾\).



To Find

• What fraction is \(¾\) of its reciprocal.


Approach and Working Out

    • The number is \(¾\)
      o Reciprocal is \(\frac{4}{3}\)
    • Answer (\(\frac{3}{4}\))/\((\frac{4}{3}\)) = \(\frac{9}{16}\)

Correct Answer: Option A
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Re: The number 3/4 is what fraction of its reciprocal? [#permalink] New post   30 Sep 2020, 08:16
hkhanexam wrote:
The number 3/4 is what fraction of its reciprocal?

A) 9/16
B) 3/4
C) 1
D) 4/3
E) 16/9


target : number 3/4 is what fraction of its reciprocal
3/4 = x*4/3
x = 9/16
option A
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Re: The number 3/4 is what fraction of its reciprocal? [#permalink] New post   30 Nov 2022, 03:45
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Re: The number 3/4 is what fraction of its reciprocal? [#permalink]
30 Nov 2022, 03:45
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