Step 1:
The first step to converting 159.85021729164 to a fraction is to re-write 159.85021729164 in the form p/q where p and q are both positive integers. To start with, 159.85021729164 can be written as simply 159.85021729164/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 159.85021729164, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 159.85021729164/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 159.85021729164/1 each by 100000000000:
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 159.85021729164 as a fraction:
36286/227 / 1