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This app has many of options for downloading free apps. For example, "Top Free" will show the most popular free apps of the day. The "New Free" category will display a list of free apps which have been newly released. Click on the "free" button to go to the installation screen.
Click on the "Play Store" app from your phone's home screen. Click the "Apps" category in Google play. Scroll through the various free headings listed at the top of the applications window. Click on "Editor's Choice" for more apps that are free. Click the button marked "Accept" to install the free app.