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Math algebra Please help pick the best answer please​

Math algebra Please help pick the best answer please​-example-1

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\bf \cfrac{4}{~~(1)/(4)-(5)/(2)~~}\implies \cfrac{(4)/(1)}{~~(1)/(4)-(5)/(2)~~}\implies \cfrac{(4)/(1)}{~~((1)1-(2)5)/(4)~~}\implies \cfrac{(4)/(1)}{~~(1-10)/(4)~~}\implies \cfrac{(4)/(1)}{~~(-9)/(4)~~} \\\\\\ \cfrac{4}{1}\cdot \cfrac{4}{-9}\implies \cfrac{-16}{9}

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