Step 1:
The first step to converting 27.638172343164 to a fraction is to re-write 27.638172343164 in the form p/q where p and q are both positive integers. To start with, 27.638172343164 can be written as simply 27.638172343164/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 27.638172343164, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 27.638172343164/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 27.638172343164/1 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 27.638172343164 as a fraction:
4201/152 / 1