Step 1:
The first step to converting 78166.101764957 to a fraction is to re-write 78166.101764957 in the form p/q where p and q are both positive integers. To start with, 78166.101764957 can be written as simply 78166.101764957/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 78166.101764957, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 78166.101764957/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 78166.101764957/1 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 78166.101764957 as a fraction:
703495/9 / 1