Question

Mali has 2 1/3 cups of fruit to make smoothies. She puts 2/3 cup of fruit in each smoothie. Explain why there is 1/3 cup of fruit in half a smoothie.

Answer 1

see the explanation

Explanation:

we know that

She puts 2/3 cup of fruit in each smoothie

so

using proportion

Find out the number of cups of fruit in half a smoothie

Let

x -----> the number of cups of fruit

`((2/3))/(1)(cups\ of\ fruit)/(smoothie) =(x)/((1/2))(cups\ of\ fruit)/(smoothie)\\\\x=(2/3)(1/2)\\\\x=(2)/(6)\ cups\ of\ fruit`

Simplify

Divide by 2 both numerator and denominator

`(2)/(6)\ cups\ of\ fruit=(1)/(3)\ cups\ of\ fruit`

therefore

There is 1/3 cup of fruit in half a smoothie