Final answer:
To add 2 1/3 and 4 5/8, we first find a common denominator, which is 24. Converting the fractions and adding them with the whole numbers, we get the final answer of 6 23/24.
Step-by-step explanation:
To add the mixed numbers 2 1/3 and 4 5/8, we first need to add the whole numbers and then the fractions. Before adding the fractions, they must have a common denominator. After converting them to equivalent fractions with a common denominator, we can add their numerators.
The common denominator for 3 and 8 is 24. Thus,
- 1/3 is equivalent to 8/24,
- 5/8 is equivalent to 15/24.
Now, we add the whole numbers (2 + 4 = 6) and the fractions (8/24 + 15/24 = 23/24) together:
6 + 23/24 = 6 23/24
This is our final answer as a mixed number.