Step 1:
The first step to converting 107.1589213165 to a fraction is to re-write 107.1589213165 in the form p/q where p and q are both positive integers. To start with, 107.1589213165 can be written as simply 107.1589213165/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 107.1589213165, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 107.1589213165/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 107.1589213165/1 each by 10000000000:
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 107.1589213165 as a fraction:
11466/107 / 1