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

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

From the information given, we know that she feeds the cat a total of 4/5 cup of food every day. This consists of 1/2 cup in the evening and x cups the rest of the day. Therefore, we can write the equation:

1/2 + x = 4/5

To solve for x, we first need to convert 4/5 to a fraction with the same denominator as 1/2:

4/5 = 8/10

Now we can rewrite the equation:

1/2 + x = 8/10

To get rid of the fractions, we can multiply both sides by 10:

10(1/2) + 10x = 8

5 + 10x = 8

Subtracting 5 from both sides:

10x = 3

Dividing both sides by 10:

x = 3/10

Therefore, Kendall gives the cat 3/10 cup of food the rest of the day.