Step 1:
The first step to converting 429.21914301164 to a fraction is to re-write 429.21914301164 in the form p/q where p and q are both positive integers. To start with, 429.21914301164 can be written as simply 429.21914301164/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 429.21914301164, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 429.21914301164/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 429.21914301164/1 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 429.21914301164 as a fraction:
13735/32 / 1