Question 1041894
The fraction, unknown,  {{{n/d}}}.


{{{system(d=n-9,(n+4)/(d+4)=5/2)}}}, according to description.


{{{2(n+4)=5(d+4)}}}


{{{2n+8=5d+20}}}


{{{2n+8=5(n-9)+20}}}


{{{2n+8=5n-45+20}}}


{{{8=3n-45+20}}}


{{{3n=8+45-20}}}


{{{3n=45-12}}}


{{{3n=33}}}


{{{highlight(n=11)}}}
{{{d=n-9}}}
{{{d=11-9}}}
{{{highlight(d=2)}}}


Certain Fraction is  {{{highlight_green(highlight(11/2))}}}.