Final answer:
There are 5.5 groups of 1/2 pounds in 2 and 3/4 pounds. This is calculated by converting the mixed number to an improper fraction and then dividing by the fraction representing the group size.
Step-by-step explanation:
To determine how many groups of 1/2 pounds are in 2 and 3/4 pounds, you can follow these steps:
- Convert the mixed number 2 and 3/4 pounds to an improper fraction. 2 and 3/4 pounds is the same as 11/4 pounds, because 2 pounds equals 8/4 pounds and then you add the 3/4 pounds.
- Divide the improper fraction 11/4 pounds by 1/2 pounds to find out how many 1/2-pound groups are there. 11/4 divided by 1/2 is the same as 11/4 multiplied by 2/1, because when dividing fractions, you multiply by the reciprocal of the second fraction.
- Perform the multiplication: 11/4 × 2/1 = 22/4 = 5.5
Therefore, there are 5.5 groups of 1/2 pounds in 2 and 3/4 pounds.