Step 1:
The first step to converting 121.7684 to a fraction is to re-write 121.7684 in the form p/q where p and q are both positive integers. To start with, 121.7684 can be written as simply 121.7684/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 121.7684, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 121.7684/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 121.7684/1 each by 10000:
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 121.7684 as a fraction:
9985/82 / 1