Step 1:
The first step to converting 299.13629158743 to a fraction is to re-write 299.13629158743 in the form p/q where p and q are both positive integers. To start with, 299.13629158743 can be written as simply 299.13629158743/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 299.13629158743, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 299.13629158743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 299.13629158743/1 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 299.13629158743 as a fraction:
6581/22 / 1