1樓:不願失去鉨
1.(1/69+2/71)乘23+25除以71
=1/69*23+2/71*23+25/71
=1/3+(46/71+25/71)
=1/3+1
=4/3
2.(1+1/2)乘(1-1/2)乘(1+1/3)乘(1-1/3)乘........乘(1+1/9)乘(1-1/9)
=3/2*1/2*4/3*2/3...*10/9*8/9
=1/2*10/9(中間的都約去了)
=5/9
3.1/2乘3+1/3乘4+.......+1/19乘20
=1/2-1/3+1/3-1/4+...+1/19-1/20
=1/2-1/20
=9/20
4.1/27+505/2727+131313/272727
=1/27+5*101/(27*101)+13*10101/(27*10101)
=1/27+5/27+13/27
=19/27
5.100-98+96-94+....+4-2
=(100-98)+(96-94)+...(4-2)
=2+2+...+2(共有25個)
=2*25
=50五十二又二十五分之十一×79.45+159×47.56+七十九又二十分之十一×52.44
=52.44×79.45+159×47.56+79.55×52.44
=52.44×(79.45+79.55)+159×47.56
=52.44×159+159×47.56
=159×(52.44+47.56)
=159×100
=15900
3)2002+2001-2000-1999+1998+1997-1996-1995+……+2+1
=(2002-2000)+(2001-1999)+(1998-1996)+(1997-1995)+……+(6-4)+(5-3)+2+1
=2+2+2+2+……+2+2(從3-2002共2000個數,所以有1000個2)+2+1
=1000×2+2+1
=2003
4,5兩題均用到一個轉換式1/(a×b)=1/(b-a)×(1/a-1/b)
如1/15=1/(3×5)=1/(5-3)×(1/3-1/5)=1/2×(2/15)=1/15可驗證一下
4)(1×2分之一)+(2×3分之一)+(3×4分之一)+……+(10×11分之一)
=1/(1×2)+1/(2×3)+1/(3×4)+……+1/(10×11)
=(1-1/2)+(1/2 - 1/3)+(1/3 - 1/4)+……+(1/10 - 1/11)
=1-1/11
=10/11
5)三分之一+十五分之一+三十五分之一+六十三分之一+九十九分之一
=1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)
=1/2×(1-1/3)+1/2×(1/3-1/5)+1/2×(1/5-1/7)+1/2×(1/7-1/9)+1/2×(1/9-1/11)
=1/2×(1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11)
=1/2×(1-1/11)
=1/2×10/11
=5/11
6)一又二分之一-六分之五+十二分之七-二十分之九+三十分之十一-四十二分之十三+五十六分之十五
(根據提示,1又1/2=1+1/2,+1/2+1/3=5/6……)
=(1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
=1+ 1/2 - 1/2 - 1/3 + 1/3 + 1/4 - 1/4 - 1/5 + 1/5 + 1/6 - 1/6 - 1/7 + 1/7 + 1/8
=1+1/8
=9/8 2010-2-8 20:141.125*3+125*5+25*3+25
2樓:咚咚鏘
34×3.535-3.5×34.34
=34×3.5×1.01-3.5×34×1.01=08+89+899+8999+89999=9+90+900+9000+90000-5=99999-5
=99994
0.67×2.1+0.
018×21+8.5×0.79=0.
67×2.1+0.18×2.
1+8.5×0.79=(0.
67+0.18)×2.1+8.
5×0.79=0.85×2.
1+0.85×7.9
=0.85×(2.1+7.9)
=0.85×10
=8.5
22222.2×9.99999
=22222.2×(10-0.00001)=222222-0.222222
=222221.777778
1997×19961996-1996×19971997=1997×1996×10001-1996×1997×10001=00.02+0.04+0.
06+0.08+……+19.94+19.
96+19.98
=(0.02+19.98)×999÷2
=10×999
=9990
99999×77778+33333×66666=99999×77778+99999×22222=99999×(77778+22222)
=99999×100000
=9999900000
(4又5/6-3又3/4)/(3/14+2/7)=13/12÷1/2
=13/6
=2又1/6
(4.8/1又4/5+3又1/2+7又1/3)*4/9=(2又2/3+7又1/3+3.5)*4/9=(10+3.5)*4/9
=13.5*4/9
=617.2/【(3又2/5-1.25)*2/3】=17.2/【2.15*2/3】
=17.2÷43/3
=1.2
5*5又1/5
=5*5+5*1/5
=25+1
=26(5又2/5-1.8)/[(1.15+13/20)*1又2/3]
=3.6/[1.8*5/3]
=3.6/3
=1.2
3又5/8*5又1/5+5又1/5*6又3/8=5.2*(3又5/8+6又3/8)
=5.2*10
=52[3/4-7/8/(5/6+4/5)]*28=[3/4-7/8÷49/30]*28
=[3/4-15/28]*28
=3/4*28-15/28*28
=21-15
=6(1.25*4/5-0.76)/(1又3/8+1又1/40)=(1-0.76)/2.4
=0.24/2.4
=0.1
[(0.2+1/3)*4.5]/(8又1/20-6.45)=8/15*4.5/1.6
=2.4/1.6
=1.5
x+3又2/3=5
x*9又3/4=7又1/11 x/2/5=106又2/3-x=4.25 6.4*1.
7+6又2/5*8.3(4又6/7+1.75)/1又11/14+3又5/62.
16-7x=0.06
1/2x-0.5=5又1/2
8.16-1.26/0.3*1.5
=8.16-4.2*1.5
=8.16-6.3
=1.86
8.4*[(1.2+3又1/3)/3.4-1/2]=8.4*[68/16/3.4-1/2]
=8.4*[5/4-1/2]
=8.4*3/4
=6.3
5.8:x=3又1/2:7
3.5x=7*5.8
x=7/3.5*5.8
x=2*5.8
x=11.6
3/10*55-4x=14.5
16.5-4x=14.5
4x=2
x=0.2
19.38-4又7/8-5又1/8
=1.938-(4又7/8+5又1/8)
=19.38-10
=9.38
13又7/13-(6又3/5+3又7/13)=13又7/13-3又7/13-6又3/5=10-6又3/5
=3.4
1又3/4+[2又3/14-(2又3/14-1.875)]/2又1/12
=1又3/4-15/8*12/25
=1又3/4-9/10
=0.85
(9.4-8又2/5)/[(1.1+1/15)*1又7/18]=1/[7/6*25/18]
=1÷175/108
=108/175
3樓:匿名使用者
1. 3/7 × 49/9 - 4/3
2. 8/9 × 15/36 + 1/27
3. 12× 5/6 – 2/9 ×3
4. 8× 5/4 + 1/4
5. 6÷ 3/8 – 3/8 ÷6
6. 4/7 × 5/9 + 3/7 × 5/9
7. 5/2 -( 3/2 + 4/5 )
8. 7/8 + ( 1/8 + 1/9 )
9. 9 × 5/6 + 5/6
10. 3/4 × 8/9 - 1/3
11. 7 × 5/49 + 3/14
12. 6 ×( 1/2 + 2/3 )
13. 8 × 4/5 + 8 × 11/5
14. 31 × 5/6 – 5/6
15. 9/7 - ( 2/7 – 10/21 )
16. 5/9 × 18 – 14 × 2/7
17. 4/5 × 25/16 + 2/3 × 3/4
18. 14 × 8/7 – 5/6 × 12/15
19. 17/32 – 3/4 × 9/24
20. 3 × 2/9 + 1/3
21. 5/7 × 3/25 + 3/7
22. 3/14 ×× 2/3 + 1/6
23. 1/5 × 2/3 + 5/6
24. 9/22 + 1/11 ÷ 1/2
25. 5/3 × 11/5 + 4/3
26. 45 × 2/3 + 1/3 × 15
27. 7/19 + 12/19 × 5/6
28. 1/4 + 3/4 ÷ 2/3
29. 8/7 × 21/16 + 1/2
30. 101 × 1/5 – 1/5 × 21
31.50+160÷40 (58+370)÷(64-45)
32.120-144÷18+35
33.347+45×2-4160÷52
34(58+37)÷(64-9×5)
35.95÷(64-45)
36.178-145÷5×6+42 420+580-64×21÷28
37.812-700÷(9+31×11) (136+64)×(65-345÷23)
38.85+14×(14+208÷26)
39.(284+16)×(512-8208÷18)
40.120-36×4÷18+35
41.(58+37)÷(64-9×5)
42.(6.8-6.8×0.55)÷8.5
43.0.12× 4.8÷0.12×4.8
44.(3.2×1.5+2.5)÷1.6 (2)3.2×(1.5+2.5)÷1.6
45.6-1.6÷4= 5.38+7.85-5.37=
46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
47.6.5×(4.8-1.2×4)= 0.68×1.9+0.32×1.9
48.10.15-10.75×0.4-5.7
49.5.8×(3.87-0.13)+4.2×3.74
50.32.52-(6+9.728÷3.2)×2.5
51.[(7.1-5.6)×0.9-1.15] ÷2.5
52.5.4÷[2.6×(3.7-2.9)+0.62]
53.12×6÷(12-7.2)-6 (4)12×6÷7.2-6
1.[(5.84-3.9)/0.4+0.15]*0.92
2.4.38/(36.94+34.3*0.2)
3.(284+16)*(512-8208/18)
4.5.4/[2.6*(3.7-2.9)+0.62]
5.[(7.1-5.6)*0.9-1.15]/2.5
6.32.52-(6+9.728/3.2)*2.5
7.5.8*(3.87-0.13)+4.2*3.7
8.8/9*[15/16*(7/16-1/4)/1/2]
9.[5 1/2-1.04*(1 2/3+5/6)]/2.9
10.6 3/7 /3/7-[(7-0.5)*1/4]
11.(0.75+0.2)/0.25*25%+12/0.75+7.2/2.4
12.1.21*42-(4.46+0.14)*1375+450/18*25
13.1+0.45/0.9-0.75-168.1/(4.3*2-0.4)
14.605*8+3.5-44+10.9-(6.6+0.125/12.5%)
15.56*(56-65)*[0.325-62/30+(56/8)-65 ]
16.4/7*5/9 + 3/7*5/9-3/4 × 8/9 - 1/3
17.50+160/40 *(58+370)/(64-45)
18.347+45×2-4160÷52
19.6-1.6÷4+ 5.38+7.85-5.37
20.5.4÷[2.6×(3.7-2.9)+0.62
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