Step 1:
The first step to converting 38206.214374997 to a fraction is to re-write 38206.214374997 in the form p/q where p and q are both positive integers. To start with, 38206.214374997 can be written as simply 38206.214374997/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 38206.214374997, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 38206.214374997/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 38206.214374997/1 each by 1000000000:
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 38206.214374997 as a fraction:
152825/4 / 1