Verified Answer :

\(5\times8=40\\40+7=47\\put~it~over~8\\\frac{47}{8}\)

Improper fractions are when the numerator is greater than the numerator 
the given fraction is a mixed fraction where it has both a whole number and a fraction 
\(5 \frac{7}{8}\)
whole number is 5 
fraction is 7/8
when bringing it to an improper fraction we need to convert the whole numbers to fractions as well
denominator is 8. then 5 whole numbers means 5*8 = 40
then the 5 whole numbers as a fraction = \(\frac{40}{8}\)
then when we add the 2 fractions 
\(\frac{40}{8} + \frac{7}{8} = \frac{47}{8}\)
therefore improper fraction is 
\(\frac{47}{8}\)