Final answer:
Yolanda walked a total of 8 1/10 miles.
This was determined by adding the whole numbers (3+4) and the fractions (6/10+1/2), then combining them to get the total distance.
Step-by-step explanation:
The question involves adding two mixed numbers to find the total distance walked by Yolanda.
To solve the problem, we first need to add the whole numbers and then the fractional parts:
- Convert the mixed numbers to improper fractions if necessary.
- Add the whole number parts: 3 (from 3 6/10) + 4 (from 4 1/2) = 7.
- Add the fractional parts: 6/10 + 1/2.
- Before adding, find a common denominator, which is 10.
- Convert 1/2 to 5/10. Now, add 6/10 + 5/10 = 11/10.
- Next, combine the sum of the whole parts with the sum of the fractional parts: 7 + 11/10.
- Since 11/10 is more than a whole, it is equal to 1 with 1/10 left over.
- Add that extra whole to the whole number part: 7 + 1 = 8, and you're left with 1/10 as the fractional part.
Thus, the total distance walked by Yolanda is 8 1/10 miles.
This addition of mixed numbers is a basic arithmetic operation, which is a critical skill in mathematics.