Step 1:
The first step to converting 3882.152943914 to a fraction is to re-write 3882.152943914 in the form p/q where p and q are both positive integers. To start with, 3882.152943914 can be written as simply 3882.152943914/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3882.152943914, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3882.152943914/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3882.152943914/1 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 3882.152943914 as a fraction:
50468/13 / 1