Step 1:
The first step to converting 4214.908665252 to a fraction is to re-write 4214.908665252 in the form p/q where p and q are both positive integers. To start with, 4214.908665252 can be written as simply 4214.908665252/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 4214.908665252, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4214.908665252/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4214.908665252/1 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 4214.908665252 as a fraction:
46364/11 / 1