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Two identical pies were cut into a total of 16 equal pieces.

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Carcass
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Two identical pies were cut into a total of 16 equal pieces. [#permalink] New post   11 Jul 2019, 03:50
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Two identical pies were cut into a total of 16 equal pieces. If one of the resulting pieces was then split equally among three people, what fraction of a pie did each person receive?

A. \(\frac{1}{48}\)

B. \(\frac{1}{24}\)

C. \(\frac{1}{16}\)

D. \(\frac{3}{16}\)

E. \(\frac{3}{8}\)
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Re: Two identical pies were cut into a total of 16 equal pieces. [#permalink] New post   12 Jul 2019, 05:58
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Carcass wrote:
Two identical pies were cut into a total of 16 equal pieces. If one of the resulting pieces was then split equally among three people, what fraction of a pie did each person receive?

A. \(\frac{1}{48}\)

B. \(\frac{1}{24}\)

C. \(\frac{1}{16}\)

D. \(\frac{3}{16}\)

E. \(\frac{3}{8}\)



Here,
Two pies are split into \(16\) equal parts, meaning each individual pie is split into 8 equal parts

and each person receives \(\frac{1}{8}\) of the each individual pie

Again, one of the resulting piece was divided equally among 3 people i.e. each of these 3 people receives = \(\frac{1}{8} * \frac{1}{3} = \frac{1}{24}\)
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Two identical pies were cut into a total of 16 equal pieces. [#permalink] New post   08 Mar 2024, 08:48
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Two identical pies were cut into a total of \(16\) equal pieces

Each pie was cut into \(8\) pieces

If one piece was cut into \(3\) pieces what fraction of a pie did each person receive?

Since one pie was cut into \(8\) equal pieces and one piece was equally distributed among three peoples, each person got \(1\) out of \(8 \times 3 = 24\) pieces

So the answer is \(\frac{1}{24}\)

Choice B is the answer.
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Two identical pies were cut into a total of 16 equal pieces. [#permalink]
08 Mar 2024, 08:48
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