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If a is 30/31 of 31/32 and b = 30/31 , then a/b =

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Carcass
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If a is 30/31 of 31/32 and b = 30/31 , then a/b = [#permalink] New post   11 Aug 2022, 09:45
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If a is \(\frac{30}{31}\) of \(\frac{31}{32}\) and b = \(\frac{30}{31}\) , then \(\frac{a}{b} =\)

(A) \(\frac{900}{992}\)

(B) \(\frac{30}{32}\)

(C) \(\frac{30}{31}\)

(D) \(\frac{31}{32}\)

(E) \(\frac{992}{900}\)


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Re: If a is 30/31 of 31/32 and b = 30/31 , then a/b = [#permalink] New post   13 Aug 2022, 07:35
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Carcass wrote:
If a is \(\frac{30}{31}\) of \(\frac{31}{32}\) and b = \(\frac{30}{31}\) , then \(\frac{a}{b} =\)

(A) \(\frac{900}{992}\)

(B) \(\frac{30}{32}\)

(C) \(\frac{30}{31}\)

(D) \(\frac{31}{32}\)

(E) \(\frac{992}{900}\)




\(a=(\frac{30}{31}\))(\(\frac{31}{32})=\frac{30}{32}\)

\(b =\frac{30}{31}\)

So, \(\frac{a}{b} =\frac{\frac{30}{32}}{\frac{31}{32}}\)

\(=(\frac{30}{32})(\frac{32}{31})\)

\(=\frac{30}{31}\)

Answer: C

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Brent
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Re: If a is 30/31 of 31/32 and b = 30/31 , then a/b = [#permalink]
13 Aug 2022, 07:35
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