Kyle divided a drink with a volume of 2 1/2 cups into 1/4 portions. How many portions did he he have?
2 1/2 = 5/2
(5/2) / (1/4)
(5/2) * 4 = 20/2 = 10
To find the number of portions, divide the total volume of the drink by the volume of each portion.
Total volume of the drink = 2 1/2 cups
To convert the mixed number to an improper fraction:
2 1/2 = (2 * 2) + 1 / 2 = 5/2
Volume of each portion = 1/4 cup
Number of portions = Total volume of the drink / Volume of each portion
= (5/2 cups) / (1/4 cup)
= (5/2) * (4/1)
= 20/2
= 10
Therefore, Kyle had 10 portions of the drink.
To find out how many portions Kyle had, we can divide the total volume of the drink by the volume of each portion.
The total volume of the drink is given as 2 1/2 cups. To work with fractions more easily, we can convert this mixed fraction to an improper fraction:
2 1/2 = (2 × 2) + 1 = 5/2
Now, each portion has a volume of 1/4 cup. To divide the total volume of the drink by the volume of each portion, we can use the concept of division:
(5/2) ÷ (1/4)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
(5/2) ÷ (1/4) = (5/2) × (4/1)
Multiplying straight across:
= (5 × 4) / (2 × 1) = 20/2 = 10
Therefore, Kyle had a total of 10 portions of the drink.