This tutorial is for the installation of Oracle Java Runtime Environment in 64-bit Fedora systems. The installation process is slightly different from the 32-bit.
1. Install these libraries that needed by Java.
yum -y install compat-libstdc++-296 compat-libstdc++-33
2. Go to the site below and grab the latest version of Java Runtime Environment.
http://java.com/en/
IMPORTANT: Make sure to download only the "Linux x64 RPM *".
3. After downloading the file, make it executable and install.