Question
43. Which of the following statements is NOT true in the context of the concept of fractions?
(1) It represents a part of a group of similar items.
(2) The mathematical notation of a fraction can be represented as a ratio.
(3) It represents that part of a whole which is greater than ‘1’.
(4) The mathematical notation of a fraction can be used to represent a division problem.
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उत्तर : (3) It represents that part of a whole which is greater than ‘1’.
कारण: (1) True: Fractions can represent a part of a group (e.g., 2 out of 3 apples, 2/3).
(2) True: A fraction can also be viewed as a ratio (e.g., a ratio of 2:3 as 2/3).
(4) True: A fraction can be understood as a division problem (e.g., 3/4 means 3 divided by 4).
(3) False: A fraction does *not always* represent a part of a whole that is greater than ‘1’. If a fraction is a proper fraction (numerator smaller than denominator), its value is less than 1 (e.g., 1/2, 3/4). While improper fractions and mixed numbers can be greater than 1, stating “it represents that part of a whole which is greater than ‘1’” is not true for all fractions. Fractions fundamentally represent “parts of a whole,” whether they are less than, equal to, or greater than 1. This statement is not true for the universal definition of fractions.
कारण: (1) True: Fractions can represent a part of a group (e.g., 2 out of 3 apples, 2/3).
(2) True: A fraction can also be viewed as a ratio (e.g., a ratio of 2:3 as 2/3).
(4) True: A fraction can be understood as a division problem (e.g., 3/4 means 3 divided by 4).
(3) False: A fraction does *not always* represent a part of a whole that is greater than ‘1’. If a fraction is a proper fraction (numerator smaller than denominator), its value is less than 1 (e.g., 1/2, 3/4). While improper fractions and mixed numbers can be greater than 1, stating “it represents that part of a whole which is greater than ‘1’” is not true for all fractions. Fractions fundamentally represent “parts of a whole,” whether they are less than, equal to, or greater than 1. This statement is not true for the universal definition of fractions.
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