Asked by Jenn
The numerator of a simple fraction is 2 less than its denominator. The sum of this fraction and its reciprocal is 2 4/35. Find this fraction.
Answers
Answered by
Steve
n = d-2
n/d + d/n = 2 4/35
substitute in for n and we have
(d-2)/d + d/(d-2) = 74/35
d = 7
so, n=5
check:
5/7 + 7/5 = (25+49)/35 = 74/35
n/d + d/n = 2 4/35
substitute in for n and we have
(d-2)/d + d/(d-2) = 74/35
d = 7
so, n=5
check:
5/7 + 7/5 = (25+49)/35 = 74/35
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