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 your answer in fraction form only.(1 point)
Let x be the amount of food Kendall feeds the cat the rest of the day.
We know that the total amount of food she gives the cat is 4/5 cup per day.
We also know that she feeds the cat 1/2 cup of food in the evening.
Therefore, the equation to solve is:
x + 1/2 = 4/5
Subtracting 1/2 from both sides of the equation, we get:
x = 4/5 - 1/2
To subtract these fractions, we need to have a common denominator, which is 10.
So, multiplying 4/5 by 2/2 and 1/2 by 5/5, we get:
x = (8/10) - (5/10)
Now, we can subtract the two fractions:
x = 3/10
Therefore, Kendall gives the cat 3/10 cup of food the rest of the day.