Using Skype's yum repository
1. As the root user, create the file /etc/yum.repos.d/skype.repo containing:
[skype]
name=Skype Repository
baseurl=http://download.skype.com/linux/repos/fedora/updates/i586/
gpgkey=http://www.skype.com/products/skype/linux/rpm-public-key.asc
2. Then run yum install skype to install the latest version of Skype on your
computer.