Step 1:
The first step to converting 706.77205 to a fraction is to re-write 706.77205 in the form p/q where p and q are both positive integers. To start with, 706.77205 can be written as simply 706.77205/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 706.77205, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 706.77205/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 706.77205/1 each by 100000:
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 706.77205 as a fraction:
15549/22 / 1