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Question
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
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Solution
Using the property a−1 = 1/a for every natural number a, we have (1/2)−1 = 2 and (−4/7)−1 = −7/4. We have to find a number x such that \[2x = \frac{- 7}{4}\] Dividing both sides by 2, we get:
Hence, the required number is −7/8.
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