help with this math riddle question?? please!!?

A

Alicia

New member
2. Georgina thought of combing a number pattern and the drinking of a gallon of milk. She imagined asking someone to do this: Start by drinking half a gallon, then two-thirds of what is left, then three-fourths of what is left, and then four-fifths of what is left, and so on. She thought how cool would it be to figure out exactly how much milk would be left! How much milk did she figure would be left after taking ten drinks?


also how should i show my work?
 
multiply the denominator of the amount left by the denominator of the amount you are drinking.

this is easy since the denominator increases by one each time so you just do
1x2=2 after one drink
x3=6 after 2
x4=24 after 3
x5=120 after 4
x6=720 after 5
x7=5040 after 6
x8=40320 after 7
x9=362880 after 8
x10=3628800 after 9
x11=39916800 after 10 drinks

1/39916800 of a gallon which is 1/51975 of a teaspoon
 
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