Step 1:
The first step to converting 7889.2586633 to a fraction is to re-write 7889.2586633 in the form p/q where p and q are both positive integers. To start with, 7889.2586633 can be written as simply 7889.2586633/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7889.2586633, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7889.2586633/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7889.2586633/1 each by 10000000:
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 7889.2586633 as a fraction:
213010/27 / 1