Question 1178439

let a number be {{{x}}},  the reciprocal of a number will be {{{1/x}}}

If {{{3/8}}} is added to the reciprocal of a number, the result is {{{31/8}}}, so we have

{{{1/x+3/8=31/8}}}

{{{1/x=31/8-3/8}}}

{{{1/x=28/8}}}

{{{1/x=7/2}}}

{{{1=x(7/2)}}}

{{{x=1/(7/2)}}}

{{{x=2/7}}}->and its reciprocal is {{{x=7/2}}}

check:

{{{7/2+3/8=31/8}}}

{{{31/8=31/8}}}