1/6+1/12+1/20+1/30+1/42 简算
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![1/6+1/12+1/20+1/30+1/42 简算](/uploads/image/z/3920401-1-1.jpg?t=1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42+%E7%AE%80%E7%AE%97)
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1/6+1/12+1/20+1/30+1/42 简算
1/6+1/12+1/20+1/30+1/42 简算
1/6+1/12+1/20+1/30+1/42 简算
原式=1╱2×3+1╱3×4+1/4×5+1/5×6+1/6×7
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
去掉括号=1/2-1/7=2/14