Step 1:
The first step to converting 1584.4142400578 to a fraction is to re-write 1584.4142400578 in the form p/q where p and q are both positive integers. To start with, 1584.4142400578 can be written as simply 1584.4142400578/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1584.4142400578, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1584.4142400578/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1584.4142400578/1 each by 10000000000:
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 1584.4142400578 as a fraction:
45948/29 / 1