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But it doesn't mirror on the whole TV screen while playing games only while watching videos. Is there a fix around this?
 
No, screen mirroring for games, apps etc (not including video) will be pillar boxed on 16:9 displays because the iPads screen has an aspect ratio of 4:3.
 
some games stretch it

Yes I use my ipad to play games on my tv using airplay. What I've noticed is that games like real racing hd or fifa 12 will fit to the screen when mirroring while other smaller games will not. The app developers have to enable it
 
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