Step 1:
The first step to converting 10189.840502123 to a fraction is to re-write 10189.840502123 in the form p/q where p and q are both positive integers. To start with, 10189.840502123 can be written as simply 10189.840502123/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 10189.840502123, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 10189.840502123/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 10189.840502123/1 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 10189.840502123 as a fraction:
61139/6 / 1