Step 1:
The first step to converting 743.66738176059 to a fraction is to re-write 743.66738176059 in the form p/q where p and q are both positive integers. To start with, 743.66738176059 can be written as simply 743.66738176059/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 743.66738176059, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 743.66738176059/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 743.66738176059/1 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 743.66738176059 as a fraction:
2231/3 / 1