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 to find how much food she gives to the cat the rest of the day. Write your answer in fraction form only

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

The total amount of food given to the cat every day is x + 1/2 cup.

Since Kendall feeds her cat a total of 4/5 cup of food every day, we can set up the following equation:

x + 1/2 = 4/5

Subtract 1/2 from both sides:

x = 4/5 - 1/2
x = 4/5 - 2/4
x = 4/5 - 4/8
x = 32/40 - 25/40
x = 7/40

Therefore, Kendall gives her cat 7/40 cup of food the rest of the day.