Step 1:
The first step to converting 37874.744690105 to a fraction is to re-write 37874.744690105 in the form p/q where p and q are both positive integers. To start with, 37874.744690105 can be written as simply 37874.744690105/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 37874.744690105, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37874.744690105/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 37874.744690105/1 each by 1000000000:
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 37874.744690105 as a fraction:
151499/4 / 1