Question

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

Answer 1

To find the total amount of liquid Philip uses, we need to add the amounts of broth and water together.

3 3/8 cups of broth + 2 1/4 cups of water

First, let's convert the fractions to a common denominator. In this case, the common denominator is 8.

We can convert 3 3/8 to an improper fraction as follows:

3 * 8 = 24

24/8 + 3/8 = 27/8

So, 3 3/8 cups of broth is equal to 27/8 cups.

Now let's convert 2 1/4 to an improper fraction:

2 * 4 = 8

8/4 + 1/4 = 9/4

So, 2 1/4 cups of water is equal to 9/4 cups.

Now we can add the amounts of liquid together:

27/8 cups + 9/4 cups

To add the fractions, we need to find a common denominator. In this case, the common denominator is 8.

27/8 cups + 9/4 cups = 27/8 cups + 18/8 cups = (27 + 18)/8 cups = 45/8 cups.

Therefore, Philip uses 45/8 cups of liquid to make soup, which can also be written as 5 5/8 cups.