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Verified Answer :

AL2006

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

we know that

The reciprocal of a number is \(1\) divided by the number

1) Convert the mixed number to an improper fraction

we know that

\(2\frac{5}{8}=\frac{(2*8+5)}{8} =\frac{21}{8}\)

2) Find the reciprocal

\(\frac{21}{8}\)

\(Reciprocal=1/(21/8)=\frac{8}{21}\)

therefore

the answer is

\(\frac{8}{21}\)