Step 1:
The first step to converting 105386.20584223 to a fraction is to re-write 105386.20584223 in the form p/q where p and q are both positive integers. To start with, 105386.20584223 can be written as simply 105386.20584223/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 105386.20584223, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 105386.20584223/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 105386.20584223/1 each by 100000000:
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 105386.20584223 as a fraction:
421545/4 / 1