Question 265453
I have two one-quart jars; the first is filled with water, and the second is empty. 
I pour half of the water in the first jar into the second,

32 0
16 16

 then a third of the water in the second jar into the first,
16+16/3 16-16/3
 then a fourth of the water in the first jar into the second,
3/4(16+16/3) (16-16/3)+1/4(16+16/3)
 then a fifth of the water in the second jar into the first, 

3/4(16+16/3)+1/5*(16-16/3)+1/4(16+16/3)     4/5*(16-16/3)+1/4(16+16/3)
352/15 and 208/15
after pour five
and so on. How much water is in the first jar after the 10th pour? Express your answer as a common fraction.