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8/9 divided -1 4/15 =

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let's firstly convert the mixed fraction to an improper fraction.


\stackrel{mixed}{1(4)/(15)}\implies \cfrac{1\cdot 15+4}{15}\implies \stackrel{improper}{\cfrac{19}{15}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{8}{9}/ -\cfrac{19}{15}\implies \cfrac{8}{9}/ \cfrac{-19}{15}\implies \cfrac{8}{9}\cdot \cfrac{15}{-19}\implies \cfrac{8}{-19}\cdot \cfrac{15}{9}\implies \cfrac{8}{-19}\cdot \cfrac{5}{3} \\\\\\ \cfrac{40}{-57}\implies -\cfrac{40}{57}

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User Loupi
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