Question

jose has $1\frac{1}{2}$ cups of yogurt to make smoothies. each smoothie uses $\frac{1}{4}$ cup of yogurt. how many smoothies can jose make with the yogurt?

Explanation:

Step1: Convert mixed number to improper fraction

Jose has \(1\frac{1}{2}\) cups of yogurt. Convert \(1\frac{1}{2}\) to an improper fraction: \(1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\) cups.

Step2: Divide total yogurt by yogurt per smoothie

Each smoothie uses \(\frac{1}{4}\) cup. To find the number of smoothies, divide the total yogurt by the yogurt per smoothie: \(\frac{3}{2}\div\frac{1}{4}\). When dividing fractions, multiply by the reciprocal: \(\frac{3}{2}\times\frac{4}{1}=\frac{3\times4}{2\times1}=\frac{12}{2}=6\).

Answer:

6