Step 1:
The first step to converting 829.9821 to a fraction is to re-write 829.9821 in the form p/q where p and q are both positive integers. To start with, 829.9821 can be written as simply 829.9821/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 829.9821, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 829.9821/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 829.9821/1 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 829.9821 as a fraction:
45649/55 / 1