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Arduino with wifi shield and 5AA batteries current draw

Arduino uno with official Wifi Shield take 5 Volts. Arduino lights up as it should when powered but the WiFi shield is dead the l9 doesn't light up but works fine when arduino is connected to usb cable.

I use 5 battery holder 5x1.5V = 7.5 V ; 2000 mAH

50 mA - Arduino 
300 mA - WiFi shield

350 mA * 5h = 1750 mAh

5xAA = 7.5V ; 2000 mAh

Am I missing here something? It should last in the worst case scenario 5 hours with new batteries at 2000 mAH (which I think they have more but I do not have them on me right now).