Step 1:
The first step to converting 760.89772606444 to a fraction is to re-write 760.89772606444 in the form p/q where p and q are both positive integers. To start with, 760.89772606444 can be written as simply 760.89772606444/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 760.89772606444, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 760.89772606444/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 760.89772606444/1 each by 100000000000:
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 760.89772606444 as a fraction:
29675/39 / 1