Step 1:
The first step to converting 1659.838648317 to a fraction is to re-write 1659.838648317 in the form p/q where p and q are both positive integers. To start with, 1659.838648317 can be written as simply 1659.838648317/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1659.838648317, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1659.838648317/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1659.838648317/1 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 1659.838648317 as a fraction:
51455/31 / 1