Multiply the numerator of a positive proper fraction by `(3)/(2)`

Divide a positive, proper fraction by (3)/(13) .

Multiply a positive, proper fraction by (3)/(8) .

Multiply both the numerator and denominator of a positive, proper fraction by 3(1)/(2) .

Add 1 to the numerator of a positive, proper fraction and subtract 1 from its denominator.

The sum of the numerator and denominator of a fraction is 8. If 3 is added to both of the numerator and the denominator, the fraction becomes (3)/(4) . Find the fraction.