Step 1:
The first step to converting 40664.565 to a fraction is to re-write 40664.565 in the form p/q where p and q are both positive integers. To start with, 40664.565 can be written as simply 40664.565/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 40664.565, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 40664.565/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 40664.565/1 each by 1000:
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 40664.565 as a fraction:
284652/7 / 1