Step 1:
The first step to converting 721.825924237 to a fraction is to re-write 721.825924237 in the form p/q where p and q are both positive integers. To start with, 721.825924237 can be written as simply 721.825924237/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 721.825924237, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 721.825924237/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 721.825924237/1 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 721.825924237 as a fraction:
16602/23 / 1