Final answer:
Camden can make 9 smoothies with 1 4/5 cups of yogurt by dividing the total amount of yogurt by the amount required for one smoothie and simplifying the resulting fraction.
Step-by-step explanation:
The question involves Camden having 1 4/5 cups of yogurt and each smoothie requiring 1/5 cup of yogurt.
To find out how many smoothies Camden can make, we divide the total amount of yogurt by the amount needed for one smoothie.
Here is the step-by-step calculation:
- Convert 1 4/5 to an improper fraction: 1 4/5 = 9/5.
- Divide the total amount of yogurt by the amount needed for one smoothie: (9/5) ÷ (1/5).
- Since dividing by a fraction is the same as multiplying by its reciprocal, we rewrite the division as a multiplication: (9/5) × (5/1).
- Multiply the numerators and the denominators: 9 × 5 = 45 and 5 × 1 = 5.
- Simplify the fraction: 45/5 = 9.
Camden can make 9 smoothies with 1 4/5 cups of yogurt.