Final answer:
To determine the amount of food Kendall feeds her cat during the day, subtract the 1/2 cup evening portion from the total of 4/5 cup. After converting to a common denominator, the calculation shows Kendall feeds her cat 3/10 cup of food during the day.
Step-by-step explanation:
The student asks how much cat food is fed to a cat during the day if a total of 4/5 cup is fed daily and 1/2 cup in the evening. To find the amount given the rest of the day, we subtract the evening portion from the total amount.
Let's define x as the amount of food given during the rest of the day. The equation would be:
x + 1/2 = 4/5
To solve for x, we subtract 1/2 from both sides of the equation:
x = 4/5 - 1/2
To subtract these fractions, they must have a common denominator. The common denominator for 5 and 2 is 10. Therefore:
- 4/5 is equivalent to 8/10
- 1/2 is equivalent to 5/10
Now, we can subtract:
x = 8/10 - 5/10 = 3/10
So, Kendall feeds the cat 3/10 cup of food during the day, not including the evening.