Step 1:
The first step to converting 977.5825 to a fraction is to re-write 977.5825 in the form p/q where p and q are both positive integers. To start with, 977.5825 can be written as simply 977.5825/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 977.5825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 977.5825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 977.5825/1 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 977.5825 as a fraction:
11731/12 / 1