1/(2/3)/(3/4)/(4/5)/(5/6)怎样巧算

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1/(2/3)/(3/4)/(4/5)/(5/6)怎样巧算

1/(2/3)/(3/4)/(4/5)/(5/6)
=1÷2x3÷3x4÷4x5÷5x6
=1÷2x6
=3

把括号外面的除法都变成乘法,括号里面就都变成了,原分母除原分子,然后就能消掉了。

1/(2/3)/(3/4)/(4/5)/(5/6)
=1*3/2*4/3*5/4*6/5
=2*3/2
=3