1/2= .5; 1/4= .25; 1/8=.125
These three equivalents show how the denominator of a fraction gets larger while the number gets smaller, but the question is why this happens. This happens because a fraction is basically just a different way to express a division problem. For example, 1/2 is the same as one divided by two. You are splitting one into two parts. Next, we have 1/4. This time you are splitting one into four parts and it equals .25. The same thing happens in 1/8. So the reason that the denominator of the fraction gets larger as the number gets smaller is because the larger the number you divide by, the smaller the answer will have to be.
These three equivalents show how the denominator of a fraction gets larger while the number gets smaller, but the question is why this happens. This happens because a fraction is basically just a different way to express a division problem. For example, 1/2 is the same as one divided by two. You are splitting one into two parts. Next, we have 1/4. This time you are splitting one into four parts and it equals .25. The same thing happens in 1/8. So the reason that the denominator of the fraction gets larger as the number gets smaller is because the larger the number you divide by, the smaller the answer will have to be.
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