Step 1:
The first step to converting 7874.4948097285 to a fraction is to re-write 7874.4948097285 in the form p/q where p and q are both positive integers. To start with, 7874.4948097285 can be written as simply 7874.4948097285/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7874.4948097285, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7874.4948097285/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7874.4948097285/1 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 7874.4948097285 as a fraction:
15749/2 / 1