1樓：新野旁觀者
(1/69+2/71)×23+25÷71 =1/69*23+2/71*23+25/71 =1/3+(46/71+25/71) =1/3+1 =4/3
2.(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×........×(1+1/9)×(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
3.1/2×3+1/3×4+.......+1/19×20 =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 2.9999*3+101*11*(101-92) 3.(23/4-3/4)*(3*6+2) 4.
3/7 × 49/9 - 4/3 5. 8/9 × 15/36 + 1/27 6. 12× 5/6 – 2/9 ×3 7.
8× 5/4 + 1/4 8. 6÷ 3/8 – 3/8 ÷6 9. 4/7 × 5/9 + 3/7 × 5/9 10.
5/2 -( 3/2 + 4/5 ) 11. 7/8 + ( 1/8 + 1/9 ) 12. 9 × 5/6 + 5/6 13.
3/4 × 8/9 - 1/3 14. 7 × 5/49 + 3/14 15. 6 ×( 1/2 + 2/3 ) 16.
8 × 4/5 + 8 × 11/5 17. 31 × 5/6 – 5/6 18. 9/7 - ( 2/7 – 10/21 ) 19.
5/9 × 18 – 14 × 2/7 20. 4/5 × 25/16 + 2/3 × 3/4 21. 14 × 8/7 – 5/6 × 12/15 22.
17/32 – 3/4 × 9/24 23. 3 × 2/9 + 1/3 24. 5/7 × 3/25 + 3/7 25.
3/14 ×× 2/3 + 1/6 26. 1/5 × 2/3 + 5/6 27. 9/22 + 1/11 ÷ 1/2 28.
5/3 × 11/5 + 4/3 29. 45 × 2/3 + 1/3 × 15 30. 7/19 + 12/19 × 5/6 31.
1/4 + 3/4 ÷ 2/3 32. 8/7 × 21/16 + 1/2 33. 101 × 1/5 – 1/5 × 21 34.
50+160÷40 35.120-144÷18+35 36.347+45×2-4160÷52 37(58+37)÷(64-9×5) 38.
95÷(64-45) 39.178-145÷5×6+42 40.812-700÷(9+31×11) 41.
85+14×(14+208÷26) 43.120-36×4÷18+35 44.(58+37)÷(64-9×5) 45.
(6.8-6.8×0.
55)÷8.5 46.0.
12× 4.8÷0.12×4.
8 47.(3.2×1.
5+2.5)÷1.6 48.
6-1.6÷4= 5.38+7.
85-5.37= 49.7.
2÷0.8-1.2×5= 6-1.
19×3-0.43= 50.6.
5×(4.8-1.2×4)= 51.
5.8×(3.87-0.
13)+4.2×3.74 52.
32.52-(6+9.728÷3.
2)×2.5 53.[(7.
1-5.6)×0.9-1.
15] ÷2.5 54.5.
4÷[2.6×(3.7-2.
9)+0.62] 55.12×6÷(12-7.
2)-6 56.12×6÷7.2-6 57.
0.68×1.9+0.
32×1.9 58.58+370)÷(64-45) 59.
420+580-64×21÷28 60.136+6×(65-345÷23) 15-10.75×0.
4-5.7 62.18.
1+(3-0.299÷0.23)×1 63.
(6.8-6.8×0.
55)÷8.5 64.0.
12× 4.8÷0.12×4.
8 65.(3.2×1.
5+2.5)÷1.6 66.
3.2×6+(1.5+2.
5)÷1.6 67.0.
68×1.9+0.32×1.
9 68.10.15-10.
75×0.4-5.7 69.
5.8×(3.87-0.
13)+4.2×3.74 70.
32.52-(6+9.728÷3.
2)×2.5 71.[(7.
1-5.6)×0.9-1.
15] ÷2.5 72.5.
4÷[2.6×(3.7-2.
9)+0.62] 73.12×6÷(12-7.
2)-6 74.12×6÷7.2-6 75.
33.02-(148.4-90.
85)÷2.5 1) 76.(25%-695%-12%)*36 77.
/4*3/5+3/4*2/5 78.1-1/4+8/9/7/9 79.+1/6/3/24+2/21 80.
/15*3/5 81.3/4/9/10-1/6 82./3+1/2)/5/6-1/3]/1/7 83.
/5+3/5/2+3/4 84.(2-2/3/1/2)]*2/5 85.+5268.
32-2569 86.3+456-52*8 87.5%+6325 88.
/2+1/3+1/4 2) 89+456-78 3) 5%+. 3/7 × 49/9 - 4/3 4) 9 × 15/36 + 1/27 5) 2× 5/6 – 2/9 ×3 6) 3× 5/4 + 1/4 7) 94÷ 3/8 – 3/8 ÷6 8) 95/7 × 5/9 + 3/7 × 5/9 9) 6/2 -( 3/2 + 4/5 ) 10) 8 + ( 1/8 + 1/9 ) 11) 8 × 5/6 + 5/6 12) 1/4 × 8/9 - 1/3 13) 10 × 5/49 + 3/14 14) 1.5 ×( 1/2 + 2/3 ) 15) 2/9 × 4/5 + 8 × 11/5 16) 3.
1 × 5/6 – 5/6 17) 4/7 - ( 2/7 – 10/21 ) 18) 19 × 18 – 14 × 2/7 19) 5 × 25/16 + 2/3 × 3/4 20) 4 × 8/7 – 5/6 × 12/15 21) 7/32 – 3/4 × 9/24 22) 1、 2/3÷1/2-1/4×2/5 2、 2-6/13÷9/26-2/3 3、 2/9+1/2÷4/5+3/8 4、 10÷5/9+1/6×4 5、 1/2×2/5+9/10÷9/20 6、 5/9×3/10+2/7÷2/5 7、 1/2+1/4×4/5-1/8 8、 3/4×5/7×4/3-1/2 9、 23-8/9×1/27÷1/27 10、 8×5/6+2/5÷4 11、 1/2+3/4×5/12×4/5 12、 8/9×3/4-3/8÷3/4 13、 5/8÷5/4+3/23÷9/11 23) 1.2×2.5+0.
8×2.5 24) 8.9×1.
25-0.9×1.25 25) 12.
5×7.4×0.8 26) 9.
9×6.4-(2.5+0.
24)(27) 6.5×9.5+6.
5×0.5 0.35×1.
6+0.35×3.4 0.
25×8.6×4 6.72-3.
28-1.72 0.45+6.
37+4.55 5.4+6.
9×3-(25-2.5)2×41846-620-380 4.8×46+4.
8×54 0.8+0.8×2.
5 1.25×3.6×8×2.
5-12.5×2.4 28×12.
5-12.5×20 23.65-(3.
07+3.65) (4+0.4×0.
25)8×7×1.25 1.65×99+1.
65 27.85-(7.85+3.
4) 48×1.25+50×1.25×0.
2×8 7.8×9.9+0.
78 (1010+309+4+681+6)×12 3×9146×782×6×854 5.15×7/8+6.1-0.
60625 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÷7.2-6 102×4.5 7.
8×6.9+2.2×6.
9 5.6×0.25 8×(20-1.
25) 1)127+352+73+44 (2)89+276+135+33 (1)25+71+75+29 +88 (2)243+89+111+57 9405-2940÷28×21 920-1680÷40÷7 690+47×52-398 148+3328÷64-75 360×24÷32+730 2100-94+48×54 51+(2304-2042)×23 4215+(4361-716)÷81 (247+18)×27÷25 36-720÷(360÷18) 1080÷(63-54)×80 (528+912)×5-6178 8528÷41×38-904 264+318-8280÷69 (174+209)×26- 9000 814-(278+322)÷15 1406+735×9÷45 3168-7828÷38+504 796-5040÷(630÷7) 285+(3000-372)÷36 1+5/6-19/12 3x(-9)+7x(-9 (-54)x1/6x(-1/3) 1.18.1+(3-0.
299÷0.23)×1 2.(6.
8-6.8×0.55)÷8.
5 3.0.12× 4.
8÷0.12×4.8 4.
(3.2×1.5+2.
5)÷1.6 (2)3.2×(1.
5+2.5)÷1.6 5.
6-1.6÷4= 5.38+7.
85-5.37= 6.7.
2÷0.8-1.2×5= 6-1.
19×3-0.43= 7.6.
5×(4.8-1.2×4)= 0.
68×1.9+0.32×1.
9 8.10.15-10.
75×0.4-5.7 9.
5.8×(3.87-0.
13)+4.2×3.74 10.
32.52-(6+9.728÷3.
2)×2.5 11.[(7.
1-5.6)×0.9-1.
15] ÷2.5 12.5.
4÷[2.6×(3.7-2.
9)+0.62] 13.12×6÷(12-7.
2)-6 14.12×6÷7.2-6 15.
33.02-(148.4-90.
85)÷2.5
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