 When we put fractions in order, we look at the top number, which is the numerator, and the bottom number, which is the denominator. Let's look at a few fractions and build a graph, so we can put them in order from greatest to least, one fifth, two thirds, one fourth, three sixths, and four fifths. The denominator is the number of empty boxes we will draw on our graph. In the fraction one fifth, five is the denominator, so we draw five boxes. The numerator is the number of boxes we will fill on our graph. In one fifth, one is the numerator, so we will fill in one box. Let's do the same with two thirds, three empty boxes for the denominator, and two filled in boxes for the numerator. Do you see how two thirds is more than one fifth? Here is the completed graph of all of the fractions. Now we can put them in order from greatest to least.