Step 1:
The first step to converting 514.21828105967 to a fraction is to re-write 514.21828105967 in the form p/q where p and q are both positive integers. To start with, 514.21828105967 can be written as simply 514.21828105967/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 514.21828105967, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 514.21828105967/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 514.21828105967/1 each by 100000000000:
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 514.21828105967 as a fraction:
16455/32 / 1