To make soup, Philip mixes 3 3/8 cups of broth with 2 1/4 cups of water. How many cups of liquid does he use?

1 answer

To add the fractions, we need to have a common denominator.

The common denominator of 8 and 4 is 8.

Converting 3 & 3/8 to an improper fraction, we get 27/8.

Converting 2 & 1/4 to an improper fraction, we get 9/4.

Adding the two fractions, we get 27/8 + 9/4.

Multiplying 27/8 by 1/1, we get 27/8.

Multiplying 9/4 by 2/2, we get 18/8.

Adding the fractions, we have 27/8 + 18/8 = 45/8.

Since we cannot have a fraction in terms of cups, we convert the fraction to a mixed number.

Dividing the numerator 45 by the denominator 8, we get 5 with a remainder of 5.

The mixed number equivalent of 45/8 is 5 5/8.

Therefore, Philip uses 5 5/8 cups of liquid in the soup. Answer: \boxed{5\frac{5}{8}}.