How to compare float numbers

compare_float.sh

#!/bin/bash
#=====================================================================
#         FILE: compare_float.sh
#
#        USAGE: bash compare_float.sh
#
#  DESCRIPTION: This script shows how to compare float numbers.
#
# REQUIREMENTS: ---
#         BUGS: ---
#        NOTES: ---
#       AUTHOR: Nik Mohamad Aizuddin bin Nik Azmi
#        EMAIL: [email protected]
#      VERSION: 1.0
#      CREATED: 12/DECEMBER/2014, 21:09
#     REVISION: ---
#=====================================================================

#---------------------------------------------------------------------
# Get input from user
#---------------------------------------------------------------------
echo -n "Please insert number_1 (for example 3.125): "
read number_1
echo -n "Please insert number_2 (for example 6.129): "
read number_2

#---------------------------------------------------------------------
# Compare number_1 and number_2
#---------------------------------------------------------------------
is_less_than=`echo "$number_1 < $number_2" | bc -l`
is_equal=`echo "$number_1 == $number_2" | bc -l`
is_more_than=`echo "$number_1 > $number_2" | bc -l`

#---------------------------------------------------------------------
# Print results
#---------------------------------------------------------------------
if [[ $is_less_than -eq 1 ]]; then
    echo "number_1 is less than number_2"
fi

if [[ $is_equal -eq 1 ]]; then
    echo "number_1 is equal to number_2"
fi

if [[ $is_more_than -eq 1 ]]; then
    echo "number_1 is more than number_2"
fi