A=1                                                                                                                                                                                                  B=-4

a) 1+2+3+...+2018

=[(2018-1):1+1].(2018+1):2

=2018.2019:2

=2037171

b) 4+7+10+13+...+2017

=[(2017-4):3+1].(2017+4):2

=672.2021:2

=679056

c) 1+2-3-4+5+6-7-8+9+10-11-12+13+14

=(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+13+14

=-4+(-4)+(-4)+13+14

=-12+27

=15

d) 23 x 75 + 25 x 23 + 180

=23 x (75+25) +180

=23 x 100 +180

=2300+180

2480

chúc ban hoc tốt nha

a) Số số hạng: ( 2018 - 1 ) : 1 + 1 = 2018

   Tổng:           2018 x ( 2018 + 1 ) : 2 = 2 037 171

b) Số số hạng: ( 2017 - 4 ) : 3 + 1 = 672

    Tổng: 672 x ( 2017 + 4 ) : 2 = 679 056

1/2 + 1/3 + 1/4 = 6/12 + 4/12 + 3/12 = 13/12

2/3 + 3/4 + 4/5 = 8/12 + 9/12 + 4/5 = 17/12 + 4/5 = 85 / 60 +  48 / 60 = 133/ 60

6/5 + 4/3 + 7/9 = 18/ 15 + 20/15 + 7/9 = 38 /15 + 7/ 9 = 114/45 +35/45 = 149/45

8/9 - 5/6 = 16/18 - 15/18 = 1/18 

15/17 - 11 /13 = 195/221 -187/221= 8/221

a) \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\)

= \(\frac{6}{12}+\frac{4}{12}+\frac{3}{12}\)

= \(\frac{13}{12}\).

b) \(\frac{2}{3}+\frac{3}{4}+\frac{4}{5}\)

= \(\frac{8}{12}+\frac{9}{12}+\frac{4}{5}\)

= \(\frac{17}{12}+\frac{4}{5}\)

= \(\frac{85}{60}+\frac{48}{60}\)

= \(\frac{133}{60}\).

c)\(\frac{6}{5}+\frac{4}{3}+\frac{7}{9}\)

= \(\frac{54}{45}+\frac{62}{45}+\frac{35}{45}\)

= \(\frac{151}{45}\).

d) \(\frac{8}{9}-\frac{5}{6}\)

= \(\frac{16}{18}-\frac{15}{18}\)

= \(\frac{1}{18}\).

e) \(\frac{15}{17}-\frac{11}{13}\)

= \(\frac{195}{221}\)\(-\frac{187}{221}\)

= \(\frac{8}{221}\).

a, 11 + 11² + 11³ + ... + 11⁷ + 11⁸

= (11 + 11²) + (11³ + 11⁴) + ... + (11⁷ + 11⁸)

= 11(1 + 11) + 11³(1 + 11) + ... + 11⁷(1 + 11)

= 11.12 + 11³.12 + .... + 11⁷.12

= 12(11 + 11³ + ... + 11⁷) chia hết cho 12

b, 7 + 7² + 7³ + 7⁴

= (7 + 7³) + (7² + 7⁴)

= 7(1 + 7²) + 7²(1 + 7²)

= 7.50 + 7².50

= 50(7  + 7²) chia hết cho 50

c, 3 + 3² + 3³ + 3⁴ + 3⁵ + 3⁶

= (3 + 3² + 3³) + (3⁴ + 3⁵ + 3⁶)

= 3(1 + 3 + 3²) + 3⁴(1 + 3 + 3²)

= 3.13 + 3⁴.13

= 13(3 + 3⁴) chia hết cho 13

-4/11+5/6+7/11-5/6

=(-4/11+7/11)+(5/6-5/6)

=3/11+0

=3/11

Làm là giúp đủ 3 câu hộ mình. 1 câu k k đâu !

3/7*(0,5+11/2)-2/7:25%

=3/7*(0,5+11/2)-2/7:1/4

=3/7*(0,5+11/2)-2/7*4

=3/7*(1/2+11/2)-2/7*4

=3/7*6-2/7*4

=18/7-8/7

=10/7

Bài 1: Ta chỉ cần bỏ ngoặc rồi cộng hai phân số để ra kết quả là số tự nhiên là xong

Bài 2:

A = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+............+\frac{1}{2003.2004}\)

A = \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-.............-\frac{1}{2003}+\frac{1}{2003}-\frac{1}{2004}\)

A = \(1-\frac{1}{2004}\)

A = \(\frac{2004}{2004}-\frac{1}{2004}=\frac{2003}{2004}\)

Mk làm mẫu 1 bài nha 

Bài 1 :

a, = (1/4+3/4) - (5/13+8/13)+2/11

    = 1 - 1 + 2/11

    = 2/11

Tk mk nha

\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2003.2004}\)

\(\Leftrightarrow A=1\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2003}-\frac{1}{2004}\right)\)

\(\Leftrightarrow A=1\left(1-\frac{1}{2004}\right)\)

\(\Leftrightarrow A=\frac{2003}{2004}\)

a] 4/12 ; 5/12 ; 11/2 ; 1/4

b] 1 ; 9/12; 12/5 ; 11/3

c] 8/21; 6/11;8/7

d] 2/3 ;2/7 15/2

a]1/3  5/12     11/2       1/4

b]1      3/4         12/5         33/9

c]8/21      6/11        8/7

d]2/3        2/7          15/2

a) 1/3 ; 5/12 ; 11/2 ; 1/14

b) 1 ; 9/12 ; 12/5 ; 11/3

c) 8/21 ; 6/11 ; 8/7

d) 2/3 ; 2/7 ; 15/2

(dấu . là dấu nhân )

a, \(\frac{3}{2}\cdot\frac{4}{7}+\frac{3}{7}\cdot\frac{3}{2}\)

= \(\frac{3}{2}\left(\frac{4}{7}+\frac{3}{7}\right)\)

=\(\frac{3}{2}\cdot\frac{7}{7}=\frac{3}{2}\)

b, \(\frac{12}{5}\cdot4-4\cdot\frac{7}{5}\)

=\(4\left(\frac{12}{5}-\frac{7}{5}\right)=4\cdot\frac{5}{5}=4\)

c, \(\frac{5}{11}:\frac{1}{2}+\frac{6}{11}:\frac{1}{2}\)

=\(2\left(\frac{5}{11}+\frac{6}{11}\right)=2\cdot\frac{11}{11}=2\)

a;3/2x(4/7+3/7)

=3/2x1

=3/2

b;12/5x4-4x7/5

=4x(12/5-7/5)

=4x1

=4

c;5/11:1/2+6/11:1/2

=1/2:(5/11+6/11)

=1/2:1

=1/2

a) 3/2 * 4/7 +3/7 * 3/2

= 3/2*(4/7+3/7)

= 3/2*1

=3/2

b) 12/5 * 4 -4*7/5

=4*(12/5-7/5)

= 4*1

=4

c) 5/11 :1/2 + 6/11 : 1/2

=1/2 : (5/11 +6/11)

=1/2 : 1

=1/2