Can Android extract zip files? Can Android extract zip files?  If so, could you please explain the process of downloading and extracting a zip file?
Yes, provided you've got an application to deal with zip files, you should be just fine:

WinZip for Android



By default there's already apps within your OS to deal with zip files:

Best is access a zip file thru your browser, download an open one. A window should pop-up, with some recommended apps already on your system.