What is 14 2/5 divided 3/8

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

14 2/5 as a decimal is 14.4

3/8 as a decimal is 0.375

14.4 : 0.375 = 38.4 or 38 2/5