Grace has 3 1/2 cups of yogurt to make smoothies. Each smoothies uses 2/5 cup of yogurt. What is the maximum number of smoothies that Grace can make with the yogurt?

Let's convert the yogurt first,

3 1/2 cups of yogurt covert it 3x2=6 therefore is 7/2, then covert into factor of 5. 7/2 x 5/5 = 35/10 yogurt

Each smoothies cost 2/5 cup of yogurt, covert it to factor of 10. 2/5 x 2/2 = 4/10. There for use 35/4 = 8 and remainder is 3.

So the solution is 8 yogurt

Grace can make maximum of 8 smoothies!