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)

1 answer

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.