Step 1:
The first step to converting 707.71067451522 to a fraction is to re-write 707.71067451522 in the form p/q where p and q are both positive integers. To start with, 707.71067451522 can be written as simply 707.71067451522/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 707.71067451522, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 707.71067451522/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 707.71067451522/1 each by 100000000000:
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 707.71067451522 as a fraction:
26893/38 / 1