Verified Answer :

\(\frac{9}{10}:\frac{2}{5}=\frac{9}{10}*\frac{5}{2}= \boxed{\frac{9}{4}}\)

Dividing a fraction by a second fraction is the same as multiplying the first by the reciprocal of the second:
\(\frac{9}{10} / \frac{2}{5}\)
= \(\frac{9}{10} * \frac{5}{2}\)
= \(\frac{45}{20}\)
= \(\frac{9}{4}\)

Hope this helps! :)