Step 1:
The first step to converting 39894.7824114 to a fraction is to re-write 39894.7824114 in the form p/q where p and q are both positive integers. To start with, 39894.7824114 can be written as simply 39894.7824114/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 39894.7824114, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 39894.7824114/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 39894.7824114/1 each by 10000000:
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 39894.7824114 as a fraction:
159579/4 / 1