Oliver feeds his dog a total of 3/4 cup of food every day. In the morning, he gives his dog 1/3 cup of food. Solve an equation to find how much food Oliver gives to his dog the rest of the day.
Let x be the amount of food Oliver gives to his dog for the rest of the day.
The total amount of food Oliver gives to his dog is 1/3 cup + x.
According to the problem, the total amount of food Oliver gives to his dog every day is 3/4 cup.
Thus, the equation is 1/3 + x = 3/4.
To solve the equation, we need to get rid of the fraction. To do this, we can multiply both sides of the equation by 12 (the least common denominator of 3 and 4).
12 * (1/3 + x) = 12 * (3/4)
4 + 12x = 9
12x = 9 - 4
12x = 5
x = 5/12.
Therefore, Oliver gives his dog 5/12 cup of food for the rest of the day. Answer: \boxed{\frac{5}{12}}.