Question

the numerator of a fraction is 4 less than its denominator. if the numerator is decreased by 1, the fraction becomes 2/3. find the fraction.

Answer 1

6/7 is the right answer

Answer 2

x-4/x = (x-4)-1/x = 2/3 = (x-4)-1 =2/3×x = (x-4)-1 =2x/3 = x-4 = 2x/3 +1 = x-4 = 2x + 1/3 = x =2x+1/3+4        = x=2x+1/3 +4×3/1×3 = x = 2x+1/3 +12/3   = 2x+1+12/3  =x=2x+13/3    = 3×x=2x+13  =3x =2x+13   =3x-2x=13     = x =13 So, Numerator =    x-4     = 13-4   =9                                              _____ Denominator=  x                   =13  Answer  = 9                ____                  13