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I'm unconvinced that a base-12 numbering system is particularly better than base-10, but I can explain what the author was trying to say about fractions and decimals. In base-12, one half would be represented as 0.6, one third as 0.4, and one quarter as 0.3. In base-10, the number immediately following the decimal mark is the tenths place, so one half is 0.5, or five tenths; in base-12, that first digit after the decimal mark would be the twelfths place, so one half would be 0.6, for six twelfths.