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3 and 1/3 minus 2 and 5/6

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3(1)/(3)-2(5)/(6)

Find the common denominator

LCM(3, 6) = 6


3(1)/(3)=3(1\cdot2)/(3\cdot2)=\3(2)/(6)\\\\3(1)/(3)-2(5)/(6)=3(2)/(6)-2(5)/(6)=2(6+2)/(6)-2(5)/(6)=2(8)/(6)-2(5)/(6)=(2-2)+\left((8)/(6)-(5)/(6)\right)\\\\=(8-5)/(6)=(3)/(6)=(3:3)/(6:3)=\boxed{(1)/(2)}

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User Zzheng
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