Step 1:
The first step to converting 974.68825898584 to a fraction is to re-write 974.68825898584 in the form p/q where p and q are both positive integers. To start with, 974.68825898584 can be written as simply 974.68825898584/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 974.68825898584, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 974.68825898584/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 974.68825898584/1 each by 100000000000:
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 974.68825898584 as a fraction:
15595/16 / 1