Kendall feeds her cat a total of 4/5 cup of food every day. She feeds it 1/2 cup of food in the evening. Solve an equation to find how much food she gives to the cat the rest of the day. Write answer in fraction only.

Let x be the amount of food Kendall gives to the cat the rest of the day.

Given:
Total food given = 4/5 cup
Food given in the evening = 1/2 cup

Equation:
1/2 + x = 4/5

To solve for x:
x = 4/5 - 1/2
x = 4/5 - 2/4
x = 4/5 - 2/5
x = 2/5

Therefore, Kendall gives the cat 2/5 cup of food the rest of the day.