the denominator of a fraction is four more than three times the numerator.If both numerator if both and demonator are decreased by seven the simplified result is 2/15 find the original fraction

Answer 1

n/(4+3n) = (n-7)/(4+3n-7) = 2/15

(n-7)/(3n-3) = 2/15

15n- 105 = 6n-6

9n = 99

n=99/9 = 11 = the numerator

d= 4+3n = 4+33 = 37 = the denominator

11/37 is the fraction

(11-7)/(37-7) =4/30 = 2/15 is the new fraction after subtracting 7 from numerator and denominator