Step 1:
The first step to converting 565.05309339089 to a fraction is to re-write 565.05309339089 in the form p/q where p and q are both positive integers. To start with, 565.05309339089 can be written as simply 565.05309339089/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 565.05309339089, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 565.05309339089/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 565.05309339089/1 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 565.05309339089 as a fraction:
10736/19 / 1