Question
53. A child solved the problem: $\frac{1}{2}+\frac{1}{3}=\frac{2}{5}$. Which of the following is the most appropriate conclusion that can be drawn from this solution?
(1) The child does not know how to represent fractions on a number line.
(2) The child has extended the concept of addition of natural numbers to addition of fractions.
(3) The child does not know how to add numbers.
(4) The child does not know how to take LCM.
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उत्तर : (2) The child has extended the concept of addition of natural numbers to addition of fractions.
कारण: The child solved $\frac{1}{2}+\frac{1}{3}=\frac{2}{5}$ by adding the numerators to numerators (1+1=2) and denominators to denominators (2+3=5). This is a common error that occurs when children apply the rules of addition of natural numbers to fractions, instead of adding fractions by using a common denominator. This indicates that they haven’t understood the specific rules for fraction addition, but it’s more a result of overgeneralization rather than an inability to add numbers or a lack of knowledge of LCM.
कारण: The child solved $\frac{1}{2}+\frac{1}{3}=\frac{2}{5}$ by adding the numerators to numerators (1+1=2) and denominators to denominators (2+3=5). This is a common error that occurs when children apply the rules of addition of natural numbers to fractions, instead of adding fractions by using a common denominator. This indicates that they haven’t understood the specific rules for fraction addition, but it’s more a result of overgeneralization rather than an inability to add numbers or a lack of knowledge of LCM.
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