Final answer:
By converting 11 3/8 cups to an improper fraction (91/8) and dividing by the fraction representing one smoothie (7/8), we determine Kyleigh can make 13 smoothies.
Step-by-step explanation:
Kyleigh has 11 3/8 cups of yogurt and each smoothie requires 7/8 cup of yogurt. To determine how many smoothies Kyleigh can make, we divide the total amount of yogurt by the amount needed for one smoothie:
Total cups of yogurt ÷ Cups of yogurt per smoothie = Number of smoothies
First, we convert 11 3/8 to an improper fraction:
(11 × 8) + 3 = 88 + 3 = 91
So 11 3/8 cups is the same as 91/8 cups of yogurt.
Next, we divide 91/8 by 7/8:
91/8 ÷ 7/8
= (91 ÷ 7) × (8 ÷ 8)
= 13 × 1
= 13
Kyleigh can make 13 smoothies with 11 3/8 cups of yogurt.