Question

autumn has 5 cups of yogurt to make smoothies. each smoothie uses \\(\frac{1}{3}\\) cup of yogurt. how many smoothies can autumn make with the yogurt?

Explanation:

Step1: Identify the operation

To find the number of smoothies, we divide the total amount of yogurt by the amount used per smoothie. So we use the formula \( \text{Number of smoothies} = \frac{\text{Total yogurt}}{\text{Yogurt per smoothie}} \).

Step2: Substitute the values

Total yogurt is \( 5 \) cups and yogurt per smoothie is \( \frac{1}{3} \) cup. So we calculate \( 5\div\frac{1}{3} \).

Step3: Perform the division

Dividing by a fraction is the same as multiplying by its reciprocal, so \( 5\div\frac{1}{3}=5\times3 = 15 \).

Answer:

15