Step 1:
The first step to converting 380.5214123121 to a fraction is to re-write 380.5214123121 in the form p/q where p and q are both positive integers. To start with, 380.5214123121 can be written as simply 380.5214123121/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 380.5214123121, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 380.5214123121/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 380.5214123121/1 each by 10000000000:
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 380.5214123121 as a fraction:
8752/23 / 1