First, make sure both fractions have the same denominator and neither are mixed numbers.
2 and 3/4 must be converted to an improper fraction before solving.
2 = 2/1 = 4/2 = 8/4
8/4 + 3/4 = 11/4
So 2 and 3/4 = 11/4 quarts.
1/2 quart must have the same denominator as 11/4.
1/2 = 2/4.
To find how much more broth you need, subtract 2/4 from 11/4.
11/4 - 2/4 = 9/4
So you need 9/4 quarts more broth to make the soup.
As a mixed number, this is 2 and 1/4 quarts more.