1乘以2乘以3分之1加2乘以3乘以4分之1,一直到9乘以10乘以11分之1的簡便運算做麼做

1乘以2乘以3分之1加2乘以3乘以4分之1,一直到9乘以10乘以11分之1的簡便運算做麼做


1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10
=(1/2+1/3+1/6)+(1/4+1/5+1/10)+1/7+1/8+1/9
=1+11/20+1/8+1/7+1/9
=1+27/40+1/9+1/7
=1+283/360+1/7
=1+2341/2520
=4861/2520
9-(4861\2520)=不用說了吧
1*1\2+2*1\3+.+9*1\10=1-1\2+1-1\3+1-1\4+.1-1\10=9-(1\2+1\3+1\4+.1\10)



95×38+62÷195.


95×38+62÷195,=95×38+62×95,=95×(38+62),=95×100,=9500.



37/38除以1/39簡便運算


37/38÷1/39
=37/38×39
=37/38×(38+1)
=37+37/38
=37又37/38



全過程··74*1042/37*(-9/37)/(-521)-38*36/37
74*1042/37*(-9/37)/(-521)-38*36/37


74*1042/37*(-9/37)/(-521)-38*36/37
=74/37*1042/(-521)*(-9)/37-38*36/37
=2*(-2)*(-9)/37-38*36/37
=36/37-36/37*38
=36/37*(1-38)
=36/37*(-37)
=-36