Step 1:
The first step to converting 0.078206176757746 to a fraction is to re-write 0.078206176757746 in the form p/q where p and q are both positive integers. To start with, 0.078206176757746 can be written as simply 0.078206176757746/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 0.078206176757746, which in this case is 15. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.078206176757746/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.078206176757746/1 each by 1000000000000000:
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 0.078206176757746 as a fraction:
286/3657 / 1