Step 1:
The first step to converting 364.9777 to a fraction is to re-write 364.9777 in the form p/q where p and q are both positive integers. To start with, 364.9777 can be written as simply 364.9777/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 364.9777, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 364.9777/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 364.9777/1 each by 10000:
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 364.9777 as a fraction:
16424/45 / 1