Step 1:
The first step to converting 17644.153133974 to a fraction is to re-write 17644.153133974 in the form p/q where p and q are both positive integers. To start with, 17644.153133974 can be written as simply 17644.153133974/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 17644.153133974, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 17644.153133974/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 17644.153133974/1 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 17644.153133974 as a fraction:
105865/6 / 1