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Write down the information you know:
7 servings
1 1/6 cups of juice
So, 1 1/6 cups divided into 7 servings. 
(1 1/6)/7
There are 1/6 cups of juice per serving.
The answer is 1/6. there are 7 servings and it calls for 1 1/6. since there is a 1/6, it obviously means that the 1 is separated into 6 parts. then there are 6 plus 1/6 making it  7 total separations of 1/6. And since there are 7 servings, it would be 1/6 cup of juice. You're welcome :D