Will fractions of a Monero receive the airdrop as well? For example, will 0.5 XMR get 5 XMV, or an integer number of XMR is needed?
Yes this is something you can see answered on the FAQ and homepage-
https://monerov.org/updates/"How does the distribution of XMV work?
Holders of Monero at the snapshot block will be owners of the new MoneroV coin and will receive 10 times the Monero amount as MoneroV coins (XMV). For example, if you hold 1 Monero coin (XMR) prior to the fork, you will own 10 MoneroV after the fork. The same is true for partial Monero amount. Holding 0.5 XMR will grant you 5 XMV."