Lily is making smoothies. each smoothie uses 1/2 cup of yogurt. How many cups of yogurt does she need to make 3 smoothies Express your answer in simplest form

To make 3 smoothies, Lily would need 3 * 1/2 = <<3*1/2=1.5>>1.5 cups of yogurt. Answer: \boxed{1.5}.

To find out how many cups of yogurt Lily needs to make 3 smoothies, we need to multiply the amount of yogurt used in one smoothie by the number of smoothies she wants to make.

Given that each smoothie uses 1/2 cup of yogurt, we can multiply 1/2 by 3:

(1/2) * 3 = 3/2

Therefore, Lily needs 3/2 or 1 and 1/2 cups of yogurt to make 3 smoothies.

To find the total amount of yogurt needed to make 3 smoothies, we need to multiply the amount of yogurt required for each smoothie by the number of smoothies.

- Amount of yogurt for one smoothie: 1/2 cup
- Number of smoothies: 3

To find the total amount of yogurt needed:
Total yogurt = Amount per smoothie × Number of smoothies

Substituting the values:
Total yogurt = (1/2 cup) × 3

To simplify this, we multiply the numerator and denominator of the fraction by 3:
Total yogurt = (1 × 3) / (2 × 1)
Total yogurt = 3/2

So, Lily needs 3/2 cups of yogurt to make 3 smoothies.