Question

A denominator of a fraction is 1 more than numerator. If the sum of the fraction and it's reciprocal is 216\21.find the fraction

Answer 1

numerator=x,denominator=x+1
x/x+1+x+1/x=216/21
x/x+1=x-1/x+1-1=x-1/x
x-1/x+x+1/x=216/21
21(2x)=216
x=216/42
x=5.1
numerator=x=5.1
denominator=x+1=6.1