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There are an infinite number of fractions which are greater than 1/3. 1/2 for example. Here is one way to visualize it: Take a graph paper and find the point (3,1). Yes x=3 and y=1. Draw a line from the origin to this point. That line has a slope of 1/3 [rise/run]. Now any line you draw from the origin to a point in Quadrant I which is above this line will have a slope steeper than 1/3. So say we draw from the origin to (2,1). The slope is 1/2 and the line is above the 1/3 line. Try 3/8 [the point is (8,3)], or 5/12 [point is (12,5)]. The y coordinate is the numerator and x coordinate is denominator for these examples.

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