To install the flash plugin is fedora is as simple as installing the repository and the doing the installation

#rpm -Uvh http://linuxdownload.adobe.com/adobe-release/adobe-release-i386-1.0-1.noarch.rpm

Then to install do:

#yum install flash-plugin

We need to add the Skype repository manually as there is no rpm. To do so, create the file /etc/yum.repos.d/skype.repo

vi /etc/yum.repos.d/skype.repo

Then, add these content into that file:

[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
enabled=1
gpgcheck=0

Save it and then run this command:

yum install skype