Step 1:
The first step to converting 90.179657822844 to a fraction is to re-write 90.179657822844 in the form p/q where p and q are both positive integers. To start with, 90.179657822844 can be written as simply 90.179657822844/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 90.179657822844, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 90.179657822844/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 90.179657822844/1 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 90.179657822844 as a fraction:
11543/128 / 1