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What Fractions Are Less Than 1/2 Or More Than 1/2, Comparing Fractions To One

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create as many fractions as possible that are less than one half.

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How can you tell if a fraction is less than one half?What patterns do you notice?How can you be certain you have all possible solutions?
16 fractions less than one half1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3

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I’m curious as to why you are counting equivalent fractions separately in your answer. Since 2/8 = 1/4 and 3/9 = 2/6 = 1/3, I initially found only 13 fractions.

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