Step 1:
The first step to converting 460.89689734314 to a fraction is to re-write 460.89689734314 in the form p/q where p and q are both positive integers. To start with, 460.89689734314 can be written as simply 460.89689734314/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 460.89689734314, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 460.89689734314/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 460.89689734314/1 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 460.89689734314 as a fraction:
13366/29 / 1