Step 1:
The first step to converting 12586.734388669 to a fraction is to re-write 12586.734388669 in the form p/q where p and q are both positive integers. To start with, 12586.734388669 can be written as simply 12586.734388669/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 12586.734388669, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 12586.734388669/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 12586.734388669/1 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 12586.734388669 as a fraction:
188801/15 / 1