Respuesta :
we know that
The reciprocal of a number is [tex]1[/tex] divided by the number
1) Convert the mixed number to an improper fraction
we know that
[tex]2\frac{5}{8}=\frac{(2*8+5)}{8} =\frac{21}{8}[/tex]
2) Find the reciprocal
[tex]\frac{21}{8}[/tex]
[tex]Reciprocal=1/(21/8)=\frac{8}{21}[/tex]
therefore
the answer is
[tex]\frac{8}{21}[/tex]