Step 1:
The first step to converting 37666.886236583 to a fraction is to re-write 37666.886236583 in the form p/q where p and q are both positive integers. To start with, 37666.886236583 can be written as simply 37666.886236583/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 37666.886236583, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37666.886236583/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 37666.886236583/1 each by 1000000000:
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 37666.886236583 as a fraction:
301335/8 / 1