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Question

An improper fraction is greater than 2 but smaller than 6. Its denominator is 3. State all the possible improper fractions that cannot be reduced to whole numbers.

Answer

An improper fraction is numerator greater than denominator. Since it is given denominator is 3 and the number is greater than 2 and smaller than 6, the possible improper fractions are,

7/3    8/3    10/3    11/3     13/3    14/3     16/3    17/3

Total 8 improper fractions. 9/3 , 12/3 and 15/3 are not included as they can be divided into whole numbers.

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