Bash Shell Script - Help with conditional evaluation of a variable integer

You could try to print them to see the value. You can typecast a variable like this:
declare -i var_name

there is no concept of data types in bash. Can you show the preceding code that assigns values to these variables?

Sure: =)

hd_size="$(sfdisk -s /dev/$chosen_hd)"
cylinders="$(sfdisk -g /dev/$chosen_hd | awk '{ print $2; }')"
hd_size_convert="$(echo "scale=0; $hd_size / 1048576" | bc -l)"
 
 vol_size_tmp="$(mktemp /tmp/vol_size_tmp.XXXXXX)"
  trap "[ -f "$vol_size_tmp" ] && rm -f $vol_size_tmp" HUP INT QUIT TERM EXIT
  while [ "$ASK_VOL_SIZE" -ne 0 ]; do
    $DIA --backtitle "$msg_nchc_free_software_labs" --title  \
    "Partition Size" --inputbox "Please enter the primary partition size in gigabytes:" \
    0 0 $hd_size_convert\
    2> $vol_size_tmp
	nfs_srv="$(cat $vol_size_tmp)"
    if [ -n "$(cat $vol_size_tmp | grep -iE "[^[:digit:]]")" ] || [ -z "$nfs_srv" ] || [ $hd_size_convert -le $nfs_srv ]; then
      ASK_VOL_SIZE=1
      $DIA --backtitle "$msg_nchc_free_software_labs" --title "$msg_nchc_clonezilla" \
      --msgbox "$msg_enter_digits_only\n$msg_please_do_it_again!!!" 0 0 
    else
      ASK_VOL_SIZE=0
    fi
  done

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okay .. I see hd_size getting assigned but I dont see part_size ...

Add this line just before the comparison        
echo $hd_size  $part_size

if [ $hd_size -le $part_size ]; then

>I believe $hd_size might be stored as a LONG (15.55)
Umm .. did you mean that $hd_size is 15.55 and _part_size is 15? If yes and you wish to compare only the part before decimal place then use

$hd_size_new=`echo $hd_size|sed 's:\..*::'`
if [ $hd_size_new -le $part_size ]; then

If you wish to strip off the decimal part from part_size then use a similar line
$hd_part_new=`echo $part_size|sed 's:\..*::'`
if [ $hd_size_new -le $part_size_new ]; then

If however both are numbers with decimal points, e.g. 15.55, and you wish to compare them in entirety then compare them as strings
if [ "$hd_size" = "$part_size" ]; then

I tried the following but same problem.

sorry I meant $hd_size_convert not $part_size

I can enter
14 and the line will proove true.
but if I enter 15 it prooves false for some reason.

$hd_size_convert echos as 15 in my test case so it should work right??

  if [ -n "$(cat $vol_size_tmp | grep -iE "[^[:digit:]]")" ] || [ -z "$nfs_srv" ] || [ "$hd_size_convert" -le "$nfs_srv" ]; then

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Can you pls echo both the values and post the result here?

both values echo as 15

I'm an idiot... you cleared it out...

I was processing it backwards... I should of been doing -lt all this time... was looking at my whole stament backwards :(