Answer:
To add the mixed numbers 6 3/5 and 4 1/2, you can follow these steps:
1. Add the whole numbers separately: 6 + 4 = 10.
2. Add the fractions separately: 3/5 + 1/2.
To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 10. So, you'll need to rewrite both fractions with a denominator of 10:
3/5 becomes 6/10 (by multiplying the numerator and denominator by 2).
1/2 becomes 5/10 (by multiplying the numerator and denominator by 5).
3. Now, you can add the fractions with the same denominator:
6/10 + 5/10 = 11/10.
So, the sum of 6 3/5 and 4 1/2 is:
10 11/10.
To simplify this mixed number further, you can convert the improper fraction 11/10 back to a mixed number:
11/10 = 1 1/10.
So, the final result is:
10 1/10.