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Kyleigh has 11 3/8 cup of yogurt to make smoothies each smoothie uses 7/8 cup of yogurt. How many smoothies can Kyleigh make with the yogurt?

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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

  1. Convert 11 3/8 cups to an improper fraction, which is (11×8)+3=91/8 cups.
  2. Divide the total cups of yogurt by the cups per smoothie: (91/8) ÷ (7/8).
  3. Since dividing by a fraction is the same as multiplying by its reciprocal, we calculate (91/8) × (8/7).
  4. The 8s cancel out, and we are left with 91 × 1/7.
  5. Dividing 91 by 7 gives us 13.



Therefore, Kyleigh can make 13 smoothies with 11 3/8 cups of yogurt.

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