Step 1:
The first step to converting 129.77705102714 to a fraction is to re-write 129.77705102714 in the form p/q where p and q are both positive integers. To start with, 129.77705102714 can be written as simply 129.77705102714/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 129.77705102714, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 129.77705102714/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 129.77705102714/1 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 129.77705102714 as a fraction:
19207/148 / 1