Fractions and Decimals
A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ?

13/45
None of these
19/45
16/45

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Fractions and Decimals
The sum of the numerator and denominator of a fraction is 13. If we add 3 and 9 to numerator and denominator respectively, it becomes 2/3. The fraction is:

9/11
7/6
5/8
3/2

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