Step 1:
The first step to converting 742.7186823101 to a fraction is to re-write 742.7186823101 in the form p/q where p and q are both positive integers. To start with, 742.7186823101 can be written as simply 742.7186823101/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 742.7186823101, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 742.7186823101/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 742.7186823101/1 each by 10000000000:
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 742.7186823101 as a fraction:
23767/32 / 1