pelase try to read this post and to undestand it:
Fedora is a RPM-based dsitribution. RPM is the RPM Package Manager (http://www.rpm.org/
). foolish wrote about RPM here : http://foolish.fedorausers.org/rpm/
Eventhough it looks like a lot of text please read though it.
It will answer a lot of the questions about installing software in Linux.
And one more time I give you this link : http://www.fedorafaq.org/#installsoftware
and quote from it :
The easiest way to install software in Fedora is to use yum.
So go there read through the article and do what is described there. Then you can install apt and synaptic with the command
yum install apt synaptic