Question
Download Solution PDFFind the reciprocal of the sum of the reciprocals of the given numbers.
\(\frac{2}{5}, \frac{5}{4}, \frac{6}{8}, \frac{6}{5}, \frac{9}{6}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\frac{2}{5}, \frac{5}{4}, \frac{6}{8}, \frac{6}{5}, \frac{9}{6}\)
Formula used:
Reciprocal of the sum of reciprocals of the given numbers:
Calculation:
Reciprocals: 5/2, 4/5, 8/6, 5/6, 6/9
Sum of reciprocals = 5/2 + 4/5 + 8/6 + 5/6 + 6/9
⇒ Sum = 5/2 + 4/5 + 4/3 + 5/6 + 2/3
⇒ Sum = 75/30 + 24/30 + 40/30 + 25/30 + 20/30
⇒ Sum = (75 + 24 + 40 + 25 + 20)/30
⇒ Sum = 184/30 = 92/15
So, reciprocal of sum = 1/(92/15) = 15/92
∴ The correct answer is option (2).
Last updated on Jun 21, 2025
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