Final answer:
There are 5 whole (2)/(3) cup servings in 3(3)/(4) cups of ice tea, with some leftover.
Step-by-step explanation:
To find out how many (2)/(3) cup servings are in 3(3)/(4) cups of ice tea, we first need to convert the mixed number to an improper fraction. Since 3(3)/(4) means 3 + (3)/(4), we can express this as:
3(4)/(4) + (3)/(4) = (12)/(4) + (3)/(4) = (15)/(4).
Now, we divide the total number of cups, which is (15)/(4), by the serving size which is (2)/(3). To do this, we multiply by the reciprocal of the serving size:
(15)/(4) × (3)/(2) = (15 × 3)/(4 × 2) = (45)/(8).
Converting back to a mixed number, (45)/(8) is equivalent to 5(5)/(8), which implies that there are 5 whole (2)/(3) cup servings in 3(3)/(4) cups of ice tea, with some tea left over. Therefore, the answer is 5 (2)/(3) cup servings.