Verified Answer :

This is simple.

=\(3\frac{3}{5}\) ÷ \(4\frac{1}{2}\)
change the mixed fractions to improper ones.
\(\frac{18}{5}\) ÷ \(\frac{9}{2}\)
Multiply \(\frac{18}{5}\) by the reciprocal of \(\frac{9}{2}\) which is \(\frac{2}{9}\)  
 
=\(\frac{18}{5}\) ×  \(\frac{2}{9}\)
=\(\frac{36}{45}\)

Since it can be simplified further, we get the answer
\(\frac{4}{5}\)

How?
There is a common multiple 9
\(\frac{36/9}{45/9}\)
=\(\frac{4}{5}\)
Answer= B. \(\frac{4}{5}\)