Final answer:
Replacing 8/15 with 1/2 and 2/5 with 1. The estimated sum is 1 1/2.
Step-by-step explanation:
To estimate the sum of the fractions 8/15 + 2/5, we can replace each fraction with either 0, 1/2, or 1.
Let's consider the denominators of the fractions.
The denominators, 15 and 5, can be divided by 5 to get 3 and 1, respectively.
Now, let's replace each fraction:
8/15 can be estimated as 1/2
2/5 can be estimated as 1
So, 8/15 + 2/5 can be estimated as 1/2 + 1.
Adding these estimates, we get 1/2 + 1 = 1 1/2.