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

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