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5/9 divided 15 in simplest form

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\bf \cfrac{5}{9}/ 15\implies \cfrac{5}{9}/ \cfrac{15}{1}\implies \cfrac{5}{9}\cdot \cfrac{1}{15}\implies \cfrac{1}{9}\cdot \cfrac{5}{15}\implies \cfrac{1}{9}\cdot \cfrac{1}{3}\implies \cfrac{1}{27}

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