[racket] Decimal rounding problem
I am trying to report GPA calculation results to 2 decimal places, so I thought real->decimal-string would do the trick. However, the following behavior surprised me:
> (real->decimal-string 3.225 2)
"3.23"
> (real->decimal-string 4.225 2)
"4.22"
I would like the second answer to be "4.23", which is what a student would expect to see if they did the calculations themselves. The documentation for real->decimal-string says that it first converts the argument to an exact number. I suspect the problem has something to do with this:
> (inexact->exact 4.225)
4 126663739519795/562949953421312
> (/ 126663739519795.0 562949953421312.0)
0.22499999999999964
Is there another rounding function that would just round the floating point without going through the conversion to exact?
-Greg