數學分數簡便演算法題以及答案,數學分數簡便演算法題以及答案!!!

時間 2021-12-25 22:56:56

1樓:匿名使用者

1、(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4)=?

解法:令1/2+1/3+1/4=a, 1/5=b

原式=(1+a) ×(a+b)-(1+a+b)×a

=a+a^2+b+ab-a-a^2-ab

=b=1/5 。

=5分之1

2、1+1/3+1/3^2+1/3^3+……+1/3^100

解答:令原式=a

則3a=3+1+1/3+1/3^2+1/3^3+……+1/3^99=3+a-1/3^100

解出方程:

a=3/2-(2×3^100)^(-1)

3、1/(1×2)+1/(2×3)+1/(3×4)+…+1/(99×100)=?

4、1/(1×3)+1/(3×5)+1/(5×7)+…+1/(99×101)=?

5、1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+99/100=?

6、1/(99×98×97)+1/(99×97×96)+1/(99×96×95)+…+1/(99×2×1)=?

解題思路:

3、4兩題將每個加號前或後面的數字變成有兩個分數的相減的數再相加。

第3題:

1/(1×2)=1-1/2

1/(2×3)=1/2-1/3

1/(3×4)=1/3-1/4

1/(99×100)=1/99-1/100

第4題:

1/(1×3)=(1/2)×(1-1/3)

1/(3×5)= (1/2)×(1/3-1/5)

1/(5×7)= (1/2)×(1/5-1/7)

1/(99×101)= (1/2)×(1/99-1/101)

第5題:

先轉換分數,然後逐項相加:

5/6=1-(1/2-1/3)=1-1/2+1/3

11/12=1-(1/3-1/4)=1-1/3+1/4

19/20=1-(1/4-1/5)=1-1/4+1/5

29/30=1-(1/5-1/6)= 1-1/5+1/6

41/42=1-(1/6-1/7)=1-1/6+1/7

55/56=1-(1/7-1/8)=1-1/7+1/8

71/72=1-(1/8-1/9)= 1-1/8+1/9

99/100=1-1/100

2樓:rakuzan赤司

分母通分,分子相加減

3樓:

沒有**怎麼回答呢,你問的是什麼問題都不知道呢

六年級數學,10道簡便計算題帶答案謝謝哦∩_∩

4樓:匿名使用者

我來答 檢視全部11個回答

凌月霜丶

知道合夥人教育行家 推薦於 2018-02-24(1)2.64×1.7-2.64×0.7

=2.64×(1.7-0.7)

=2.64×1

=2.64

(2)31.5×1.07-3.15×0.7=3.15×10.7-3.15×0.7

=3.15×(10.7-0.7)

=3.15×10

=31.5

(3)2.7×5.7-2.7+5.3×2.7=2.7×(5.7-1+5.3)

=2.7×10

=27(4)0.625÷0.125×0.8=(0.625×0.8)×8÷(0.128×8)=0.5×8÷1

=4(5)18.6×6.1+3.9×18.6=18.6×(6.1+3.9)

=18.6×10

=186

(6)1.3579+3.5791+5.7913+7.9135+9.1357

=(1+3+5+7+9)×1.1111

=25×1.1111

=27.7775

(7)52.5x2.9+5.45

=5.25x29+5.25+0.2

=5.25×(29+1)+0.2

=5.25×30+0.2

=157.5+0.3

=157.7

(8)0.92x15+0.08x15

=(0.92+0.08)×15

=1×15

=15(9)0.72×1.25×2.5

=0.9×(0.8×1.25)×2.5

=0.9×1×2.5

=2.25

(10)400.6x7-2003x0.4

=200.3x14-200.3x4

=200.3×(14-4)

=200.3×10

=2003

5樓:凌月霜丶

(1)2.64×1.7-2.64×0.7

=2.64×(1.7-0.7)

=2.64×1

=2.64

(2)31.5×1.07-3.15×0.7=3.15×10.7-3.15×0.7

=3.15×(10.7-0.7)

=3.15×10

=31.5

(3)2.7×5.7-2.7+5.3×2.7=2.7×(5.7-1+5.3)

=2.7×10

=27(4)0.625÷0.125×0.8=(0.625×0.8)×8÷(0.128×8)=0.5×8÷1

=4(5)18.6×6.1+3.9×18.6=18.6×(6.1+3.9)

=18.6×10

=186

(6)1.3579+3.5791+5.7913+7.9135+9.1357

=(1+3+5+7+9)×1.1111

=25×1.1111

=27.7775

(7)52.5x2.9+5.45

=5.25x29+5.25+0.2

=5.25×(29+1)+0.2

=5.25×30+0.2

=157.5+0.3

=157.7

(8)0.92x15+0.08x15

=(0.92+0.08)×15

=1×15

=15(9)0.72×1.25×2.5

=0.9×(0.8×1.25)×2.5

=0.9×1×2.5

=2.25

(10)400.6x7-2003x0.4

=200.3x14-200.3x4

=200.3×(14-4)

=200.3×10

=2003

6樓:匿名使用者

152×

3÷2=456÷2

=228

43×12×6

=516×6

3096

200+25×33

=200+825

=1025

(25+26)×48

=51×48

=2448

576-(290+107)

=576-397

=179

腦子已短缺,只有這麼多

7樓:匿名使用者

62×7.1+2.9,

=440.2+2.9,

=443.1;

4.2×0.25,

=(4+0.2)×0.25,

=4×0.25+0.2×0.25,

=1+0.05,

=1.05;

5.2×4.3+0.8×4.3,

=(5.2+0.8)×4.3,

=6×4.3,

=25.8.

8.5+1.5÷0.25×4,

=8.5+6×4,

=8.5+24,

=32.5.

0.25×0.8+2.5%

=0.2+2.5%,

=0.225;

32×125×2.5,

=4×8×125×2.5,

=8×125×(4×2.5),

=1000×10,

=10000;

94÷(6.84×8.5-31.46÷0.55),=94÷(58.14-57.2),

=94÷0.94,

=100.

13÷0.4÷2.5,

=13÷(0.4×2.5),

=13÷1,

=13;

1.25×2.5×0.8,

=(1.25×0.8)×2.5,

=1×2.5,

=2.5;

1.5×101-1.5,

=1.5×(101-1),

=1.5×100,

=150;

4.8×101,

=4.8×100+4.8×1,

=480+4.8,

=484.8.

3.25×4.7-7.8,

=15.275-7.8,

=7.475;

0.57+0.43×0.24,

=0.57+0.1032,

=0.6732.

945÷5÷3,

=189÷3,

=63;

152×3÷2,

=456÷2,

=228;

43×12×6,

=516×6,

=3096.

200+25×33,

=200+825,

=1025;

(25+26)×48,

=51×48,

=2448.

576-(290+107),

=576-397,

=179;

649+124-556,

=773-556,

=217.

4.82-5.2÷0.8×0.6,

=4.82-6.5×0.6,

=4.82-3.9,

=0.92.

我這兒有哦,這麼多,不知道你夠不夠

8樓:新野旁觀者

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 × 5/97.5/2 -( 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 × 11/514.31 × 5/6 – 5/6

15.9/7 - ( 2/7 – 10/21 )16.5/9 × 18 – 14 × 2/717.

4/5 × 25/16 + 2/3 × 3/418.14 × 8/7 – 5/6 × 12/1519.17/32 – 3/4 × 9/2420.

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 × 1527.7/19 + 12/19 × 5/628.1/4 + 3/4 ÷ 2/3

29.8/7 × 21/16 + 1/2

30.101 × 1/5 – 1/5 × 21

9樓:星辰

一年級數學十道簡便計算時這個六年級的數學也是說簡單也簡單說難也很難現在的孩子的質量越來越提高了

10樓:匿名使用者

題目:62.1x6+5x62.1-62.1答案:=62.1x(6+5-1)

=62.1×10

=621

11樓:豔陽天

第四題的0.128×8不等於1因該是0.125×8

12樓:匿名使用者

47x29十47x71

=47x(29+71)

=47x100

=4700

92x99+92

=(99+1)x92

=100x92

=9200

210x23

=(200+1)x23

=200x23+23x1

=4600+23

=4623

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