Step 1:
The first step to converting 5126.538166626 to a fraction is to re-write 5126.538166626 in the form p/q where p and q are both positive integers. To start with, 5126.538166626 can be written as simply 5126.538166626/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5126.538166626, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5126.538166626/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5126.538166626/1 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 5126.538166626 as a fraction:
66645/13 / 1