Asoup recipe calls for two and three fourths quarts of vegetable broth. an open can of broth contains half quart of broth. how much more broth do you need to make the soup?

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.