Step 1:
The first step to converting 553.12920745564 to a fraction is to re-write 553.12920745564 in the form p/q where p and q are both positive integers. To start with, 553.12920745564 can be written as simply 553.12920745564/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 553.12920745564, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 553.12920745564/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 553.12920745564/1 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 553.12920745564 as a fraction:
17147/31 / 1