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Calculate the exact value of 1 1/3- 3 5/6+ 5 1/9​

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\displaystyle\bf 1(1)/(3) -3(5)/(6) +5(1)/(9) =5+1-3+(1^(/6))/(3) +(1^(/2))/(9) -(5^(/3))/(6)\\\\\\\ =3+(6+2-15)/(18) =3-(7)/(18)=\boxed{2(11)/(18) }

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