Question

Tabitha has 1/3 of a gallon of lemonade. She shares the lemonade equally with three friends. Select the equation that shows how to calculate the fraction of a gallon of lemonade that each friend gets.

Answer 1

To find out how much lemonade each friend gets, divide Tabitha's 1/3 gallon by 3. This results in each friend receiving 1/9 of a gallon of lemonade.

Step-by-step explanation:

The subject of this question is Mathematics, and it appears to be aimed at the Middle School level. To solve the question, which asks how to calculate the fraction of a gallon of lemonade each friend gets when Tabitha shares 1/3 of a gallon of lemonade equally with three friends, we can use a simple division process.

To calculate the fraction of a gallon each friend gets, we divide the total amount of lemonade by the number of friends:

1. Start with the total amount of lemonade Tabitha has, which is 1/3 of a gallon.
2. Since she is sharing this amount with three friends, we divide 1/3 by 3.
3. The equation to calculate this is (1/3) ÷ 3, which is equal to (1/3) × (1/3) because dividing by a number is the same as multiplying by its reciprocal.
4. Therefore, the calculation is (1/3) × (1/3) = 1/9. Each friend gets 1/9 of a gallon of lemonade.

Answer 2

`(1)/(12) \ gallon`

Step-by-step explanation:

-Let h denote the amount that each friend receives.

-The fraction, h, of each friend is obtained by dividing the total amount by the number of friends plus herself included:

`h=(Total \ Lemonade)/(Tabitha+3 Friends)\\\\=((1)/(3))/(4)\\\\=(1)/(3)* (1)/(4)\\\\=(1)/(12)\ gallon`

Hence, each friend gets a twelfth of a gallon(
`(1)/(12)`)