Final answer:
Kyleigh can make 13 smoothies with her 11 3/8 cups of yogurt by dividing the total amount of yogurt by the amount needed for one smoothie, which results in (91/8) divided by (7/8), simplifying to 13.
Step-by-step explanation:
The question is asking how many smoothies Kyleigh can make if she has 11 3/8 cups of yogurt and each smoothie requires 7/8 cup of yogurt. To answer this, we need to divide the total amount of yogurt by the amount needed for one smoothie.
Steps to Calculate the Number of Smoothies
- Convert 11 3/8 cups to an improper fraction, which is (11×8)+3=91/8 cups.
- Divide the total cups of yogurt by the cups per smoothie: (91/8) ÷ (7/8).
- Since dividing by a fraction is the same as multiplying by its reciprocal, we calculate (91/8) × (8/7).
- The 8s cancel out, and we are left with 91 × 1/7.
- Dividing 91 by 7 gives us 13.
Therefore, Kyleigh can make 13 smoothies with 11 3/8 cups of yogurt.