In the "ones" place,
4₅ + 3₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅
(a number in base 5 can only consist of the digits 0-4; anything larger, which I wrap in parentheses, needs to be split up further)
In the "tens" place, we carry over the 1 from the previous sum:
2₅ + 4₅ + 1₅ = (7)₅ = 12₅
In the "hundreds" place,
4₅ + 2₅ + 1₅ = (7)₅ = 12₅
In the "thousands" place,
1₅ + 2₅ + 1₅ = 4₅
So, we have
1424₅ + 2243₅ = 4222₅
