Step 1:
The first step to converting 172.096 to a fraction is to re-write 172.096 in the form p/q where p and q are both positive integers. To start with, 172.096 can be written as simply 172.096/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 172.096, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 172.096/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 172.096/1 each by 1000:
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 172.096 as a fraction:
8949/52 / 1