Answer and Step-by-step explanation:
Let's try to add these two mixed numbers together. We have
and
.
First, add the nonfractional parts together:
1 + 2 = 3
Now add the fractional parts. Because 3/10 and 5/10 already have a common denominator (10), we can simply add the numerators together:

Add 8/10 to our whole number 3:
3 + 8/10 = 
Clearly,
≠ 5, which is why 1 3/10 + 2 5/10 ≠ 5.
Hope this helps!