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Observe the 3 products given in Example 32 and now give the answers of the following questions. (i) Does interchanging the fractions in the example, 1/2 x 5/8, affect the answer? (ii) Is the value of the fraction in the product greater or less than the value of either fraction? |
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Answer» (i) By interchanging 1/2 × 5/8 we get 5/8 × 1/2 5/8 × 1/2 = (5 x 1)/ (8 x 2) = 5/16 which is same as the product we get in Example 32 by multiplying 1 2 and 5 8 . This means that interchanging the fractions does not affect the answer. (ii) By observing the 3 products given in the solution of Example 32, we come to know that the value of the fractions in the products are as follows (a) The product of two fractions whose value is less than 1 i.e. the proper fractions is less than each of the fractions that are multiplied. (b) The product of a proper and an improper fraction is less than the improper fractions and greater than the proper fraction. (c) The product of two improper fractions is greater than each of the two fractions. |
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