Question

Camden has 1, start fraction, 4, divided by, 5, end fraction1 5 4 ​ cups of yogurt to make smoothies. Each smoothie uses one fifth 5 1 ​ cup of yogurt. How many smoothies can Camden make with the yogurt

Answer 1

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:

1. Convert 1 4/5 to an improper fraction: 1 4/5 = 9/5.
2. Divide the total amount of yogurt by the amount needed for one smoothie: (9/5) ÷ (1/5).
3. Since dividing by a fraction is the same as multiplying by its reciprocal, we rewrite the division as a multiplication: (9/5) × (5/1).
4. Multiply the numerators and the denominators: 9 × 5 = 45 and 5 × 1 = 5.
5. Simplify the fraction: 45/5 = 9.

Camden can make 9 smoothies with 1 4/5 cups of yogurt.