Step 1:
The first step to converting 3875.7421255707 to a fraction is to re-write 3875.7421255707 in the form p/q where p and q are both positive integers. To start with, 3875.7421255707 can be written as simply 3875.7421255707/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3875.7421255707, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3875.7421255707/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3875.7421255707/1 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 3875.7421255707 as a fraction:
120148/31 / 1