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08-08-2016
Mathematics

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What is 5 1/4 . 1 5/9 ? Express the answer in simplest form

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dalendrk dalendrk

08-08-2016

[tex]5\dfrac{1}{4}\cdot1\dfrac{5}{9}=\dfrac{5\cdot4+1}{4}\cdot\dfrac{1\cdot9+5}{9}=\dfrac{21}{4}\cdot\dfrac{14}{9}=\dfrac{7}{2}\cdot\dfrac{7}{3}\\\\=\dfrac{7\cdot7}{2\cdot3}=\dfrac{49}{6}=\dfrac{48+1}{6}=\boxed{8\dfrac{1}{6}}[/tex]

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