Answer
$1244_{five}$
Work Step by Step
Rightmost column:
$3+1=4=4\times1=4_{five}$
record the 4, no carry
.
.$\ $3 2 $3_{five}$
$+ $4 2 $1_{five}$
$\_ \_ \_ \_ \_$
$\qquad 4_{five}$
Next column:
$2+2=4=4\times1=4_{five}$
record the 4, no carry
.
.$\ \ $3 2 $3_{five}$
$+ $4 2 $1_{five}$
$\_ \_ \_ \_ \_$
$\quad \ \ 4 \ 4_{five}$
Next column:
$3+4=7=1\times 5+2\times1=12_{five}$
record the 12
$\ \ $3 2 $3_{five}$
$+ $4 2 $1_{five}$
$\_ \_ \_ \_ \_$
$ 1\ 2\ 4 \ 4_{five}$
Check in base 10:
$3\times 25+2\times 5+3=88$
$4\times 25+2\times 5+1=111$
$1\times 125+2\times 25+4\times 5+4=199$
