Question 1009974
Let the number be x.

{{{x+1/x=53/14}}}


Common denominator is 14x.
Fraction Skills - Do what you know.


You should obtain a quadratic equation,  {{{14x^2-53x+14=0}}}
and use of formula for general solution of quadratic equation should bring you to {{{x=(53+- 45)/28}}}.



{{{x=2/7}}}  or  {{{x=7/2}}}