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3 1/600 x 2 1/300 = 1801/600 x 601/300 = 1082401/180000 = 6.013338889.

Another way is to treat as if multiplying two binomials: (3 + 1/600)(2 + 1/300)

3*2 + 3/300 + 2/600 + 1/180000 = 6+[(1800+600+1)/180000)] = 6 2401/180000

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