#0.38# would be equal to #38/100#. There are two zeros, so you move the decimal over twice.
When you see #3/8#, you should think #3# divided by #8#.
To solve this without a calculator, divide #.8# into #3# and move the decimal place.
#0.8 * 3 = 2.4#
This is close, but not quite #3#. #2.4# is #0.6# away from #3#. #0.6# is #75%#, or #0.75#, of #0.8#. Or you could look at it as #6/8 = 3/4 = 75/100 = 75%#
#3/0.8 = 3.75#
We determined the #3# because #0.8 *3# is the highest whole number we can multiply by before surpassing our goal of #3#.
We determined the #0.75# because we could only add #0.6# to get to our goal of #3# instead of #0.8#, and #0.6# is #75%#, or # 0.75#, of #0.8#.
Now move the decimal place back over to the right by one since we removed a decimal from #0.8#, making it #8# again.
#3/8 = 0.375#
