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. 

 
In my math class we just started a new topic but I'm not sure what it is because I missed that class today due to a dentist appointment.  Anyways, last Friday we took our first test.  This test covered positive and negative integers, order of operations, combining like terms, and the distributive property.  The hardest part of this test for me, was the distributive property portion of the test.  This topic is kind of confusing to me, but luckily I only missed one question on the test.  I think that what we will start learning next will be more challenging, and I cannot decide whether or not I am excited about this, but I'm just glad I have a good teacher who obviously knows how to teach.