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1/3/4/5 or 1/3*4/5
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18 Dec 2022, 11:36
18 Dec 2022, 11:36
Expert Reply
1
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Question Stats:
84% (00:31) correct
15% (00:17) wrong based on 57 sessions
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Quantity A |
Quantity B |
\(\frac{\frac{1}{3}}{\frac{4}{5}}\) |
\(\frac{ 1}{3} * \frac{4}{5 }\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 1/4/4/5 or 1/3*4/5
[#permalink]
20 Dec 2022, 05:00
20 Dec 2022, 05:00
Expert Reply
\(A = \frac{1}{3} * \frac{5}{4 }= \frac{5}{12}\)
\(B = \frac{1}{3} * \frac{4}{5}= \frac{4}{15
}\)
\(\frac{5}{12} * \frac{4}{15 }
\)
Find a common denominator
\(\frac{5}{12}=\frac{25}{60}\)
\(\frac{4}{15}=\frac{16}{60}\)
\(25>16\)
A is greater
\(B = \frac{1}{3} * \frac{4}{5}= \frac{4}{15
}\)
\(\frac{5}{12} * \frac{4}{15 }
\)
Find a common denominator
\(\frac{5}{12}=\frac{25}{60}\)
\(\frac{4}{15}=\frac{16}{60}\)
\(25>16\)
A is greater
1/3/4/5 or 1/3*4/5
[#permalink]
09 Jan 2024, 21:29
09 Jan 2024, 21:29
1
The basic concept is any fraction or integer multiplied by a fraction gives a smaller number. But any fraction or integer divided by a fraction gives a larger number.
Thus
\(\dfrac{\frac{1}{3}}{\frac{4}{5}} > \frac{1}{3} \times \frac{4}{5}\)
Thus
\(\dfrac{\frac{1}{3}}{\frac{4}{5}} > \frac{1}{3} \times \frac{4}{5}\)
