I think the reason why the decimal gets smaller is because when you turn the decimal into a fraction, you simpify it and then it turns into the simplified fraction. Like 0.5 is 5/10 and when you simplify it by 5, then it turns into 1/2. So if 0.125 is 125/1000, then the simplified fraction could be 1/8. I may be wrong, but if it's true, then it's the correct answer.
If you still don't get what I mean, then let me explain how it works. Of course, you should know how to simplify by now, but if you don't then here's how it works. 5/10 is equivalent to 1/2. How? You have to find the common factor between 5 and 10. Since the common factor is 5, then you should divide 5/10 by 5, which would equal 1/2. Same with 125/100 equals 1/8. You just find the common factor between the numerator and denominator, and then keep dividing with common factors until you can't divide any longer. It helps, and should help with most fractions.
If you still don't get what I mean, then let me explain how it works. Of course, you should know how to simplify by now, but if you don't then here's how it works. 5/10 is equivalent to 1/2. How? You have to find the common factor between 5 and 10. Since the common factor is 5, then you should divide 5/10 by 5, which would equal 1/2. Same with 125/100 equals 1/8. You just find the common factor between the numerator and denominator, and then keep dividing with common factors until you can't divide any longer. It helps, and should help with most fractions.
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