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Grade 5 Math Equivalent Fractions Error Analysis Question
Mathematics
Grade 5 (Primary School)
Question Content
Error - prone example: The fraction equal to 3/4 is (______). A. Only one B. Two C. Infinitely many. Wrong answer: A. Error analysis: The mistake in this question is ______.
Correct Answer
C (Infinitely many); Error analysis: Not understanding the basic property of fractions
Detailed Solution Steps
1
Recall the basic property of fractions: a fraction can have infinitely many equivalent fractions by multiplying or dividing its numerator and denominator by the same non - zero number.
2
Apply this property to 3/4: multiply the numerator and denominator by 2 to get 6/8, by 3 to get 9/12, by 4 to get 12/16, and so on. There are infinitely many such fractions.
3
The wrong answer A (only one) is incorrect because it ignores the infinite number of equivalent fractions derived from the basic property of fractions.
4
Conclusion: the correct answer is C, and the mistake is not understanding the basic property of fractions.
Knowledge Points Involved
1
Basic Property of Fractions (Equivalent Fractions)
A fraction has infinitely many equivalent fractions by multiplying or dividing its numerator and denominator by the same non - zero number. For example, 3/4 = 6/8 = 9/12 = ...
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