Step 1:
The first step to converting 8005.878 to a fraction is to re-write 8005.878 in the form p/q where p and q are both positive integers. To start with, 8005.878 can be written as simply 8005.878/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 8005.878, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8005.878/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8005.878/1 each by 1000:
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 8005.878 as a fraction:
64047/8 / 1