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1. The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:





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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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