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 point)
To find the total amount of liquid, Philip needs to add the amounts of broth and water.
He has 3 3/8 cups of broth + 2 1/4 cups of water.
To add fractions with different denominators, they must be converted to have a common denominator.
The least common multiple of 8 and 4 is 8, so both fractions can be converted to have a denominator of 8.
3 3/8 cups of broth is equivalent to 3 cups + 3/8 cup = 24/8 cups + 3/8 cup = 27/8 cups
2 1/4 cups of water is equivalent to 2 cups + 1/4 cup = 16/8 cups + 2/8 cups = 18/8 cups
Adding the fractions: 27/8 + 18/8 = 45/8
45/8 cups is equal to 5 5/8 cups.
Therefore, Philip uses 5 5/8 cups of liquid to make the soup.