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

Answer:

1/2 gallon

Step-by-step 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.

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}$

The fraction of a gallon of juice left over is:

$f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}$

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