Step 1:
The first step to converting 698.3640082465 to a fraction is to re-write 698.3640082465 in the form p/q where p and q are both positive integers. To start with, 698.3640082465 can be written as simply 698.3640082465/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 698.3640082465, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 698.3640082465/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 698.3640082465/1 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 698.3640082465 as a fraction:
7682/11 / 1