Step 1:
The first step to converting 12265.736172618 to a fraction is to re-write 12265.736172618 in the form p/q where p and q are both positive integers. To start with, 12265.736172618 can be written as simply 12265.736172618/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 12265.736172618, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 12265.736172618/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 12265.736172618/1 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 12265.736172618 as a fraction:
183986/15 / 1