Question

Katie bought 2 one-gallon bottles of juice for a party. Her guests drank 64gallons of juice. What fraction of a gallon of juice is left over? Draw a number line to show,and explain your answer.

Answer 1

1/2 gallon

Explanation:

Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.

`\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ (1)/(4)\ \ (2)/(4)\ \ (3)/(4)\ \ (4)/(4)\ \ (5)/(4)\ \ (6)/(4)\ \ (7)/(4)\ \ (8)/(4)`

The fraction of a gallon of juice left over is:

`f=(8)/(4)-(6)/(4) =(2)/(4)\\f=(1)/(2)`

Therefore, there is 1/2 of gallon of juice left over.