Step 1:
The first step to converting 7949.81678145 to a fraction is to re-write 7949.81678145 in the form p/q where p and q are both positive integers. To start with, 7949.81678145 can be written as simply 7949.81678145/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7949.81678145, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7949.81678145/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7949.81678145/1 each by 100000000:
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 7949.81678145 as a fraction:
87448/11 / 1