(-1/30)/(2/3-1/10+1/6-2/5)=

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(-1/30)/(2/3-1/10+1/6-2/5)=
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(-1/30)/(2/3-1/10+1/6-2/5)=
(-1/30)/(2/3-1/10+1/6-2/5)=

(-1/30)/(2/3-1/10+1/6-2/5)=
(-1/30)/(2/3-1/10+1/6-2/5)
=(-1/30)/(2/3+1/6-2/5-1/10)
=(-1/30)/(5/6-1/2)
=(-1/30)/(1/3)
=-1/30*3
=-1/10

= -1/30/(2/3-1/10+1/6-2/5)
= -1/30*(2/3-1/10+1/6-2/5)
= -1/(20-3+5-12)
= -1/(17+5-12)
= -1/10

答案是1/8

全部换成分母相同的就很好算!
-1/10

算其倒数
(2/3-1/10+1/6-2/5)/(-1/30)
=(2/3-1/10+1/6-2/5)*(-30)
=-20+3-5+12
=-10
所以(-1/30)/(2/3-1/10+1/6-2/5)=-1/10

(-1/30)/(2/3-1/10+1/6-2/5)
=(-1/30)/(40/60-6/60+10/60-24/60) (通分)
=(-1/30)/(1/3)
=-3/30
=-1/10

=(-1/30)/(20/30-3/30+5/30-12/30)
=(-1/30)/{(20-3+5-12)/30}
=(-1/30)/(10/30)
=(-1/30)*(30/10)
=-1/10

分母通分算得1/3,用分子除以分母得-1/10

=(-1/30)/(20/30-3/30+5/30-12/30)
=(-1/30)/(10/30)
=-1/10

(-1/30)/(2/3-1/10+1/6-2/5)
=(-1/30)/(20/30-3/30+5/30-12/30)
=(-1/30)/(10/30)
=(-1/30)*(30/10)
=-1/10

(-1/30)/(2/3-1/10+1/6-2/5)
-1 2 1 1 2
=————— ÷ (———— - ——— - ——- - ——)
30 3 10 6 5
-1
——————
...

全部展开

(-1/30)/(2/3-1/10+1/6-2/5)
-1 2 1 1 2
=————— ÷ (———— - ——— - ——- - ——)
30 3 10 6 5
-1
——————
30
= ——————————————————————————————
2*10 - 1*3 + 1*5 - 2*6
—————————————————————————
30
-1 30
= ——— * —————————————
30 20 - 3 + 5 - 12
1
= - (------)
10
*为乘

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