Step 1:
The first step to converting 28.742166421411 to a fraction is to re-write 28.742166421411 in the form p/q where p and q are both positive integers. To start with, 28.742166421411 can be written as simply 28.742166421411/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 28.742166421411, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 28.742166421411/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 28.742166421411/1 each by 1000000000000:
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 28.742166421411 as a fraction:
3679/128 / 1