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)
cup
Let x be the amount of food Kendall gives to the cat the rest of the day.
The total amount of food Kendall gives to the cat is 4/5 cup.
So 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 find a common denominator, we can multiply the numerator and denominator of 1/2 by 5, which results in 5/10.
Therefore, the equation becomes x = 4/5 - 5/10.
To combine the fractions on the right side, we need a common denominator of 10.
Since 5/10 is already equivalent to 1/2, the equation simplifies to x = 4/5 - 1/2.
To make the denominators the same, we can multiply the numerator and denominator of 4/5 by 2, which results in 8/10.
Now the equation becomes x = 8/10 - 5/10.
Therefore, x = 3/10 cup of food. Answer: \boxed{\frac{3}{10}}.