If you try out a few of the preceding mathematical expressions, you might notice that some of the expanded values seem wrong:
$ printf '%.2f\n' "$((3/2))" 1.00
You may have expected a value such as 1.50 to be returned here, but Bash does not support floating-point or fixed-point arithmetic, only integer arithmetic. Fractional parts for these operations are lost.
If you need to perform arithmetic with non-integers using tools that are highly likely to be available on a POSIX system, your best bets are the bc calculator for fixed-point, or an AWK program for floating-point:
$ bc <<'EOF' scale=2 3/2 EOF 1.50 $ awk 'BEGIN { printf "%.2f\n", 3/2 }' 1.50
If you have to do a lot of these sorts of operations, you ...