Step 1:
The first step to converting 11558.339999926 to a fraction is to re-write 11558.339999926 in the form p/q where p and q are both positive integers. To start with, 11558.339999926 can be written as simply 11558.339999926/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11558.339999926, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11558.339999926/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11558.339999926/1 each by 1000000000:
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 11558.339999926 as a fraction:
34675/3 / 1