Step 1:
The first step to converting 32.21145507814 to a fraction is to re-write 32.21145507814 in the form p/q where p and q are both positive integers. To start with, 32.21145507814 can be written as simply 32.21145507814/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 32.21145507814, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 32.21145507814/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 32.21145507814/1 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 32.21145507814 as a fraction:
7312/227 / 1