Question

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

Options:
A .   3 5
B .   3 10
C .   4 5
D .   4 3
Answer: Option C


Let the required fraction be x. Then
1
- x =
9
x
20



The Difference Between A Positive Proper Fraction And Its Re...   
1 - x2
=
9
x
20


  The Difference Between A Positive Proper Fraction And Its Re...   20 - 20x2 = 9x


  The Difference Between A Positive Proper Fraction And Its Re...   20x2 + 9x - 20 = 0


  The Difference Between A Positive Proper Fraction And Its Re...   20x2 + 25x - 16x - 20 = 0


  The Difference Between A Positive Proper Fraction And Its Re...   5x(4x + 5) - 4(4x + 5) = 0


  The Difference Between A Positive Proper Fraction And Its Re...   (4x + 5)(5x - 4) = 0



x =
4
5

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