Final answer:
Tim bought a total of 8 1/4 LB of meat.
Step-by-step explanation:
To find out how many pounds of meat Tim bought, we need to add up the weights of all the packages. The question tells us that Tim bought all of the 2 3/4 LB packages.
To add fractions, we need a common denominator. The denominator of 4 can be used as the common denominator for 3/4. So, 2 3/4 is equivalent to (2 * 4 + 3)/4 = 11/4.
Now, we can multiply the numerator (11) by the whole number (2) and add the resulting product (22) to the numerator (11) to get 33. So, Tim bought a total of 33/4 LB of meat.
We can further simplify this fraction by dividing the numerator (33) by the denominator (4). The division gives us a quotient of 8 and a remainder of 1. So, 33/4 is equivalent to 8 1/4.
Therefore, Tim bought a total of 8 1/4 LB of meat.