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Verified Answer :

\(32\frac{5}{8}\)
the improper fraction is \(\frac{261}{8}\)

well you can just put it over one exg
32.625=32.625/1 or 326.25/10 or 3263.5/100 or 32635/1000
factor out the ones
32625=3355529
1000=2
22555

so 32625/1000=555/555 times 3329/222=261/8
divide 261 by 8 and find the remainder
32  remainder=5

so 32 and 5/8