Step 1:
The first step to converting 7447.742461666 to a fraction is to re-write 7447.742461666 in the form p/q where p and q are both positive integers. To start with, 7447.742461666 can be written as simply 7447.742461666/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7447.742461666, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7447.742461666/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7447.742461666/1 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 7447.742461666 as a fraction:
230880/31 / 1