Step 1:
The first step to converting 353.68406707777 to a fraction is to re-write 353.68406707777 in the form p/q where p and q are both positive integers. To start with, 353.68406707777 can be written as simply 353.68406707777/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 353.68406707777, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 353.68406707777/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 353.68406707777/1 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 353.68406707777 as a fraction:
6720/19 / 1