Linux Mint Support only supports .deb package installation.
Therefore if you have some software in .rpm package format you can install it in Linux Mint easily by converting to .deb first. This is done by using the alien software.
To install alien, open a terminal (Press Ctrl+Alt+T) and copy the following command into the terminal:
sudo apt-get install alien dpkg-dev debhelper build-essential
Now to convert package from .rpm format to .deb format, use the following command.
sudo alien your_package.rpm
To install the deb package enter following command:
sudo dpkg -i your_package.deb