Without converting these to decimals, change 14 2/5 to an improper fraction:
14 2/5 = 72/5.
When dividing fractions invert the second and multiply.
(72/5) / (3/8) = (72/5) x (8/3) = 576/15.
You will notice that 3 is a factor of each, so this can be reduced to:
192/5, or 38 2/5
