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Comparing Fractions

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create two different fractions: one that is less than one half and one that is more than one half.



How can we tell when a fraction is less than one half?
How can we find a fraction that is less than one half but has a numerator larger than 1?
How can we tell when a fraction is more than one half?



There are many possible answers including

1/4 and 8/9

Other answers you may not expect would be improper fractions that are greater than 1/2 such as 5/2.

Source: Robert Kaplinsky

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