Step 1:
The first step to converting 7871.49628575 to a fraction is to re-write 7871.49628575 in the form p/q where p and q are both positive integers. To start with, 7871.49628575 can be written as simply 7871.49628575/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7871.49628575, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7871.49628575/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7871.49628575/1 each by 100000000:
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 7871.49628575 as a fraction:
15743/2 / 1