mike measured 2/3 cup of milk. what is 1/4 of the amount of milk?

(1/4) * (2/3) = 2/12 = 1/6

Fun Center rents popcorn machines for $20 per hour. In addition to the hourly charge, there is a rental fee of $32 is the machine proportional to the total cost?

To find 1/4 of the amount of milk, you need to calculate 1/4 * 2/3. Here's how to do it step by step:

Step 1: Convert the mixed number 2/3 to an improper fraction.
2/3 = (3*2 + 0)/3 = 6/3

Step 2: Multiply the two fractions.
(1/4) * (6/3) = (1*6)/(4*3) = 6/12

Step 3: Simplify the fraction.
The numerator, 6, and the denominator, 12, share a common factor of 6. Divide both by 6 to simplify.
6/12 = (6/6) / (12/6) = 1/2

Thus, 1/4 of the 2/3 cup of milk is equivalent to 1/2 cup of milk.