To determine how many gallons of soup Cornell ate each day, follow these steps:
1. Identify the total amount of soup prepared by Cornell:
Cornell made [tex]\(\frac{11}{12}\)[/tex] of a gallon of soup.
2. Determine the number of days over which the soup was consumed:
The soup was consumed over a period of 5 days.
3. Calculate the amount of soup consumed each day:
To find the amount of soup eaten per day, you need to divide the total amount of soup by the number of days. Mathematically, this can be represented as:
[tex]\[
\text{Amount of soup per day} = \frac{\text{Total amount of soup}}{\text{Number of days}}
\][/tex]
4. Plug in the known values:
[tex]\[
\text{Amount of soup per day} = \frac{\frac{11}{12}}{5}
\][/tex]
5. Simplify the division of fractions:
Dividing by 5 is equivalent to multiplying by the reciprocal of 5, which is [tex]\(\frac{1}{5}\)[/tex]. Therefore:
[tex]\[
\text{Amount of soup per day} = \frac{11}{12} \times \frac{1}{5}
\][/tex]
6. Perform the multiplication:
Multiply the numerators together and the denominators together:
[tex]\[
\text{Amount of soup per day} = \frac{11 \times 1}{12 \times 5} = \frac{11}{60}
\][/tex]
So, Cornell ate [tex]\(\frac{11}{60}\)[/tex] of a gallon of soup each day.
