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

Answer:

see the explanation

Step-by-step 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

$\frac{(2/3)}{1}\frac{cups\ of\ fruit}{smoothie} =\frac{x}{(1/2)}\frac{cups\ of\ fruit}{smoothie}\\\\x=(2/3)(1/2)\\\\x=\frac{2}{6}\ cups\ of\ fruit$

Simplify

Divide by 2 both numerator and denominator

$\frac{2}{6}\ cups\ of\ fruit=\frac{1}{3}\ cups\ of\ fruit$

therefore

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