To determine the new amount you need to find out what 2/3 of 4 1/2 is equal to. What you see "of" in an algebraic expression or equation, replace it with (×).
2/3 of 4 1/2 =
2/3 × 4 1/2 =
Convert 4 1/2 to an improper fraction.
2/3 × 9/2 =
Now multiply and reduce
18/6 = 3
The new amount of dog food is 3 cups.