Step 1:
The first step to converting 75724.845 to a fraction is to re-write 75724.845 in the form p/q where p and q are both positive integers. To start with, 75724.845 can be written as simply 75724.845/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 75724.845, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 75724.845/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 75724.845/1 each by 1000:
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 75724.845 as a fraction:
454349/6 / 1