Angela uses 2/3 cup strawberries to make 5/6 of a liter of smoothies what is unit rate in cups of strawberry per liter

Respuesta :

Hello! To find this answer, we should divide 2/3 by 5. 2/3 * 1/5 is 2/15. That means there are 2/15 cup of strawberries per 1/6 liter. Now, we should multiply it by 6. 2/15 * 6/1 = 12/15 or 4/5 when simplified. The unit rate is 4/5 cup of strawberries per liter.

Answer:

[tex]\frac{4}{5}\frac{cup}{liter}.[/tex]

Step-by-step explanation:

The problem says that Angela uses 2/3 cup strawberries to make 5/6 liter of smoothies. Then, to find the unit rate in cups of strawberrry per liter, that is cup/liter we need to divide both fractions:

[tex]\frac{\frac{2}{3}cup}{\frac{5}{6}liter} = \frac{2*6}{3*5}\frac{cup}{liter} = \frac{12}{15}\frac{cup}{liter}= \frac{4}{5}\frac{cup}{liter}.[/tex]

Then, the unit rate in cups of strawberry per liter is [tex]\frac{4}{5}\frac{cup}{liter}.[/tex] That is, Angela uses 4/5 cups of strawberry to do 1 liter of smoothie.