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 1

To find the total amount of liquid, Philip needs to add the quantities of broth and water.

First, convert the mixed numbers to improper fractions:
3 3/8 = (3*8 + 3)/8 = 27/8
2 1/4 = (2*4 + 1)/4 = 9/4

Now add the fractions together:
27/8 + 9/4

To add the fractions with different denominators, find the least common denominator (LCD), which is 8 in this case.

27/8 + 9/4 = (27/8)*(2/2) + 9/4 = 54/16 + 9/4

Now that the denominators are the same, add the numerators:
54/16 + 9/4 = (54 + 36)/16 = 90/16

To simplify the fraction, divide the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case:
90/16 = (90/2)/(16/2) = 45/8

So Philip uses 45/8 cups of liquid for the soup.