Michelle mixed together 9 5/8 cups of grapefruit juice and 8 1/8 cups of lemon-lime soda to make punch. How many cups of punch did Michelle make?

Write your answer as a fraction or as a whole or mixed number.

cups

1 answer

To find the total amount of punch Michelle made, we need to add together the amount of grapefruit juice and the amount of lemon-lime soda.

9 5/8 cups + 8 1/8 cups

To add these fractions, we need to have the same denominator. The denominator of the first fraction is 8 and the denominator of the second fraction is also 8.

9 5/8 cups = (9 x 8 + 5)/8 = 77/8 cups
8 1/8 cups = (8 x 8 + 1)/8 = 65/8 cups

Adding the two fractions, we get:

77/8 + 65/8 = (77 + 65)/8 = 142/8 cups

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 2.

142/8 = (142/2)/(8/2) = 71/4

Therefore, Michelle made 71/4 cups of punch.