Step 1:
The first step to converting 2174.7679415447 to a fraction is to re-write 2174.7679415447 in the form p/q where p and q are both positive integers. To start with, 2174.7679415447 can be written as simply 2174.7679415447/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 2174.7679415447, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2174.7679415447/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2174.7679415447/1 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 2174.7679415447 as a fraction:
28272/13 / 1