Answer:
Alyssa's dog ate a total of 1 7/24 cups of dog food over the course of the day.
Explanation:
To find out how much Alyssa's dog ate over the course of the day, we need to add the amount of food she fed in the morning to the amount of food she fed in the evening.
In the morning, Alyssa fed her dog 2/3 cup of dog food.
In the evening, she fed her dog an additional 5/8 cup of dog food.
To add these fractions, we need to find a common denominator. In this case, the common denominator is 24, because both 3 and 8 can evenly divide into 24.
Now, we can convert the fractions to have a denominator of 24:
2/3 = (2/3) * (8/8) = 16/24
5/8 = (5/8) * (3/3) = 15/24
Next, we can add the fractions:
16/24 + 15/24 = 31/24
Since the numerator is greater than the denominator, we have an improper fraction. To convert it to a mixed number, we divide the numerator (31) by the denominator (24):
31 ÷ 24 = 1 with a remainder of 7
So the mixed number is 1 7/24.
Therefore, Alyssa's dog ate a total of 1 7/24 cups of dog food over the course of the day.