Question 744284

let the numerator of a fraction be {{{a}}} and the denominator  {{{b}}}

fraction is {{{a/b}}}

if the denominator of a fraction {{{b}}} exceeds the numerator {{{a}}} by {{{5}}}, we have

{{{b=a+5}}}


then, our fraction looks like this:

{{{a/(a+5)}}}


 and if {{{3}}} be added to {{{both}}} the fraction becomes {{{3/4}}}; so, we have

{{{(a+3)/(a+5+3)=3/4}}}......now solve for {{{a}}}

{{{(a+3)/(a+8)=3/4}}}....cross multiply


{{{(a+3)*4=3(a+8)}}}

{{{4a+12=3a+24}}}

{{{4a-3a=24-12}}}

{{{a=12}}}

find {{{b}}}

{{{b=a+5}}}

{{{b=12+5}}}

{{{b=17}}}

so, your fraction is: {{{a/b=12/17}}}