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A waitress pours 3/4 gallons of orange juice equally into five pitchers. What tion of a gallon of orange juice is in each pitcher?
a) 1/5
b) 3/20
c) 3/5
d) 3/4

Respuesta :

Marver1ck

Answer:

b) 3/20

Step-by-step explanation:

Given:

- A waitress pours 3/4 gallons of orange juice equally into five pitchers.

What amount of a gallon of orange juice is in each pitcher?

We take

[tex]\frac{3}{4}[/tex] ÷ 5 = [tex]\frac{3}{4}[/tex] · [tex]\frac{1}{5} = \frac{3}{20}[/tex] gallons

So, the answer is b) 3/20.

Final answer:

To determine the amount of orange juice in each of the five pitchers, divide 3/4 gallons by 5, which equals 0.15 gallons or 3/20 when converted to a fraction. The answer is 3/20 of a gallon per pitcher.

Explanation:

The student is asking how to divide 3/4 gallons of orange juice equally into five pitchers. To find out how much orange juice is in each pitcher, we simply divide 3/4 by 5. The calculation goes as follows:

  • Convert 3/4 to a decimal, which is 0.75 gallons.
  • Divide 0.75 gallons by 5 pitchers: 0.75 ÷ 5 = 0.15 gallons per pitcher.
  • Realize that 0.15 gallons can be converted to a fraction that represents the same value, which is 3/20 of a gallon (because 0.15 is 15/100, and when simplified, it becomes 3/20).

Thus, the answer is b) 3/20.

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