六年級脫式計算題(簡便計算也行 最重要的是要帶答案和過程

2021-08-05 21:40:15 字數 6642 閱讀 6815

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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