Question

A 5 1/2 quart pot is filled 2/3 of the way with water. How many more quarts of water can the pot hold?

Answer 1

The pot can hold 1/3 more "of the way." Then 1/3 of 5 1/2 quarts is:

(1/3)(11/2) = 11/6 quarts. The pot can hold 11/6 quarts total.

Answer 2

Water required to fill pot
`=(11)/(6)\texttt{ quarts}`

Explanation:

Capacity of pot =
`5(1)/(2) = (11)/(2)` quart

Fraction of pot filled with water =
`(2)/(3)`

Fraction of pot empty =
`(1)/(3)`

How many more quarts of water can the pot hold is given below

Amount of quarts
`=(1)/(3)* (11)/(2)=(11)/(6)\texttt{ quarts}`

Water required to fill pot
`=(11)/(6)\texttt{ quarts}`