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 ?

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

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Fractions and Decimals
The numerator of a fraction is 3 less than its denominator. If we add 10 to the numerator, the fraction is increased by 1 3/7. What was the original fraction?

4/5
4/7
4/9
4/3

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