Step 1:
The first step to converting 961.4747 to a fraction is to re-write 961.4747 in the form p/q where p and q are both positive integers. To start with, 961.4747 can be written as simply 961.4747/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 961.4747, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 961.4747/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 961.4747/1 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 961.4747 as a fraction:
38459/40 / 1