这道题怎样做 1 1 5 1 5 9

2021-03-10 21:13:33 字数 1835 阅读 3816

1楼:匿名用户

原式du

可写zhi

为dao

回4[(1-1/5)+(1/5-1/9)+(1/9-1/13)+……答+(1/97-1/101)]

=4(1-1/5+1/5-1/9+1/9-1/13+……+1/97-1/101)

=4(1-1/101)

=4*100/101

=400/101

2楼:教授

1/﹙du1×5﹚+

zhi1/﹙dao5×9﹚+1/﹙9×13﹚……回+1/﹙97+101﹚

=1/4[(1/1-1/5)+(1/5-1/9)+(1/9-1/13)……+(1/97-1/101)答]

=1/4(1-1/101)

=1/4*(100/101)

=25/101

3楼:萌西瓜

拆项。1/﹙1×5﹚+1/﹙5×9﹚+1/﹙9×13﹚……+1/﹙97+101﹚

=1/4(1-1/5+1/5-1/9+1/9-1/13....-1/101)

=1/4*(1-1/101)

=25/101

4楼:匿名用户

解答 原等式=1/5+1/4×<(1/5-1/9)+(1/9-1/13)……(1/97-1/101)>

算计道题(要简便方法)

5楼:匿名用户

24*7.6+7.6*6.5+7.6+0.76=7.6*(24+6.5+1+0.1)=7.6*31.6=240.16

41.2*8.1+11*1.

25+53.7*1.9=41.

2*8+41.2*0.1+13.

75+53.7*2-53.7*0.

1=329.6+4.12+13.

75+107.4-5.37=449.

514.5+7.65*4+25.5+2.35*4+40=14.5+25.5+(7.65+2.35)*4+40=40+10*4+40=120

[5-3 7/8÷﹙1 5/6+3/4﹚]÷0.125=[5-37/8÷(5/2+3/4)]*8=[5-37/8÷13/4]*8=[5-37/8*4/13]*8=40-37/26*8=[40*13-37*4]/13=4*(130-37)/13=372/13

1/7×25+3/7×24+43×1/7=1/7*(25+3*24+43)=1/7*140=20

3.5×31 2/5+3.14×64﹢3.14=0.7*312+3.14*(64+1)=0.7*312+3.14*65=422.5

2003×﹙1-1/2)×(1-1/3)×(1-1/4)×······×(1-1/2002)×(1-2003)=2003×1/2×2/3×3/4······×2001/2002×2002=2003×1=2003(从第二项开始,后一项的分子与前一项的分母相抵消,则最终乘积为1)

1/2×4+1/4×6+1/6×8+······+1/98×100=4/2+6/4+8/6+···+100/98=1+2/2+1+2/4+1+2/6+···+1+2/98=49+(1+1/2+1/3+·+1/49)=49+ln49

17/8-4/9+7/8-5/9 13/12-(5/6+1/12)这两道题的简便方法?

6楼:匿名用户

*17/8-4/9+7/8-5/9

=(17/8+7/8)-(4/9+5/9)=24/8 -9/9

=3-1

=2*13/12-(5/6+1/12)

=13/12 -1/12 -5/6

=12/12 -5/6

=1 -5/6

=1/6

8-1 9+1 3),(5/8-1/4)÷(8/9+1/3)?

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