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1. The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
(A): 3 10
(B): 3 5
(C): 4 3
(D): 4 5
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By: guest on 01 Jun 2017 05.46 pm
Let the required fraction be x. Then 1 - x = 9 x 20 1 - x2 = 9 x 20 20 - 20x2 = 9x 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) - 4(4x + 5) = 0 (4x + 5)(5x - 4) = 0 x = 4 5
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