Step 1:
The first step to converting 79.820102088435 to a fraction is to re-write 79.820102088435 in the form p/q where p and q are both positive integers. To start with, 79.820102088435 can be written as simply 79.820102088435/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 79.820102088435, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 79.820102088435/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 79.820102088435/1 each by 1000000000000:
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 79.820102088435 as a fraction:
15086/189 / 1