Final answer:
Alec has received 2 3/4 pieces of gum from each of his six friends. By converting the mixed number to an improper fraction and multiplying, we find that Alec has a total of 16.5 pieces of gum.
Step-by-step explanation:
Alec's friends have given him pieces of gum. Each of the six friends gives him 2 3/4 pieces of gum. To determine the total amount of gum Alec receives, we can perform a simple multiplication:
Number of friends × Amount of gum per friend = Total pieces of gum
In numerical terms, this is:
- 6 friends × 2 3/4 pieces of gum per friend
Since 2 3/4 is a mixed number, we first convert it to an improper fraction for easy multiplication. To do this, we multiply the whole number by the denominator of the fraction and then add the numerator.
2 × 4 = 8
8 + 3 = 11
So, 2 3/4 is equivalent to 11/4.
Now we multiply:
6 × 11/4 = (6 × 11) / 4
66 / 4 = 16.5
Therefore, Alec has a total of 16.5 pieces of gum.