Respuesta :

AL2006
2-5/8 = 21/8. Its reciprocal is 8/21 .

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]