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Let's look at it this way: You have a cake. You cut it in half. This isn't what you wanted so you get another cake and cut into three parts. One third is smaller than one half, and that becomes very clear through my example, right? One third is one part out of three, one half is one part out of two.
Cut one pizza into three equal pieces, and cut a second pizza of the same size into halves. You can simulate this with a piece of paper and a pencil or pen. <><><><><> One third is NOT more than one half.
One half. Think about it this way. If you cut a pizza into two pieces, and take 1, you'll get more pizza than you would if you cut it into 3 pieces and took one.
No, one third is in fact less than half. For example, if you had two pizzas and cut one pizza into two equal peices, that would have halves. Then, if you cut the other into three equal peices, you would have thirds. The thirds would be smaller than the halves.
One slice