Step 1:
The first step to converting 469.7822 to a fraction is to re-write 469.7822 in the form p/q where p and q are both positive integers. To start with, 469.7822 can be written as simply 469.7822/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 469.7822, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 469.7822/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 469.7822/1 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 469.7822 as a fraction:
10805/23 / 1