Final answer:
The sum of 2 3/4 and 3/1 as a fraction is 23/4. The mixed number is first converted to an improper fraction, 11/4, then added to 3/1, which is equivalent to 12/4. Both fractions are then added to reach the sum of 23/4.
Step-by-step explanation:
To find the sum of 2 3/4 and 3/1 as a fraction, we begin by converting the mixed number into an improper fraction. The number 2 3/4 can be expressed as 11/4 (where 2 becomes 8/4 and 3/4 is added to it). Now, we can add the improper fraction to 3/1, which is simply 3 when expressed as a fraction. Thus, the calculation would be:
11/4 + 3/1 = 11/4 + 12/4
To add these fractions, they must have the same denominator. Since they both have a denominator of 4, we add the numerators together:
(11 + 12) / 4 = 23/4
So, the sum of the two numbers as an improper fraction is 23/4, which is not one of the provided options (a. 11/4, b. 17/4, c. 5/2, or c. 9/4). It appears there may be an error in the listed options since none match our computed result.