5/6÷(6-5/12-7/12) 递等式 简便计算

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5/6÷(6-5/12-7/12) 递等式 简便计算

5/6÷(6-5/12-7/12)
=5/6÷[6-(5/12+7/12)]
=5/6÷[6-1]
=5/6÷5
=1/6

化成分数,上下同乘12

5/6÷(6-5/12-7/12)
=5/6÷[6-(5/12+7/12)]
=5/6÷[6-1]
=5/6÷5
=1/6