A= 3/11*16+3/16*21+3/21*26+.....+3/61*66

\(=\frac{3}{5}\left(\frac{5}{11.16}+\frac{5}{16.21}+...+\frac{5}{61.66}\right)\)

\(=\frac{3}{5}\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\right)\)

\(=\frac{3}{5}\left(\frac{1}{11}-\frac{1}{66}\right)\)

\(=\frac{3}{5}\cdot\frac{5}{66}\)

\(=\frac{1}{22}\)

\(A=\frac{3}{11.16}+\frac{3}{16.21}+\frac{3}{21.26}+...+\frac{3}{61.66}\)

\(\Rightarrow A=\frac{3}{5}\left(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+...+\frac{5}{61.66}\right)\)

\(\Rightarrow A=\frac{3}{5}.\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{61}-\frac{1}{66}\right)\)

\(\Rightarrow A=\frac{3}{5}.\left(\frac{1}{11}-\frac{1}{66}\right)\)

\(\Rightarrow A=\frac{3}{5}.\frac{5}{66}\)

\(\Rightarrow A=\frac{1}{22}\)

Vậy \(A=\frac{1}{22}\)

a. (21 - 1) x (21 - 2) x (21 - 3) x ... x (21 - 21)

= 20 x 19 x 18 x ... x 0

= 0

b. 3 x 27 x 8 + 4 x 35 x 6 + 2 x 38 x 12

= (3 x 8) x 27 + (4 x 6) x 35 + (2 x 12) x 38

= 24 x 27 + 24 x 35 + 24 x 38

= 24 x (27 + 35 + 38)

= 24 x100

= 2400

c. A = (1001 + 1002 + 1003 +... + 2009) x (360 x 87 - 360 x 32 - 360 x 55)

       = (1001 + 1002 + 1003 + ... + 2009) x [360 x (87 - 32 - 55)]

       = (1001 + 1002 + 1003 + ... + 2009) x (360 x 0)

       = (1001 + 1002 + 1003 + ... + 2009) x 0

        = 0 

Mình cảm ơn bạn nhiều :!!!

\(A=\frac{3}{11.16}+\frac{3}{16.21}+\frac{3}{21.26}+...+\frac{3}{61.66}\) 

\(A:3.5=\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+...+\frac{5}{61.66}\)

\(A:3.5=\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{61}-\frac{1}{66}\)

\(A:3.5=\frac{1}{11}-\frac{1}{66}=\frac{5}{66}\)

=> \(A=\frac{5}{66}:5.3=\frac{1}{22}\)

\(A=\frac{3}{11.16}+\frac{3}{16.21}+\frac{3}{21.26}+...+\frac{3}{61.66}\)

\(A=\frac{3}{5}.\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{61}-\frac{1}{66}\right)\)

\(A=\frac{3}{5}.\left(\frac{1}{11}-\frac{1}{66}\right)\)

\(A=\frac{3}{5}.\frac{5}{66}\)

\(A=\frac{15}{330}\)

Rồi nha

Ý cha, nếu bạn An Hòa ra = \(\frac{1}{22}\) thì kết quả cuối cùng của bài mình bạn rút gọn đi nha (\(\frac{15}{330}=\frac{1}{22}\))

lỗi rồi

LỖI NHÌU QUÁ BN ƠI

a) (27 -18) : 3 =?

Cách 1: (27 -18) : 3

= 9 : 3 = 3

Cách 2:(27 -18) : 3

= 27 : 3 - 18 : 3

= 9 - 6 = 3

b) (64 - 32) : 8 = ?

Cách 1:(64 - 32) : 8

= 32 : 8 = 4

Cách 2:(64 - 32) : 8

= 64 : 8 - 32 : 8

= 8 - 4 = 4

Nói thêm: Khi chia một hiệu cho một số, ta có thể chia số bị trừ và số trừ cho số đó (nếu chia hết), rồi trừ hai kết quả cho nhau.

(27 -18) : 3

= 27 : 3 - 18 : 3

`a// [-3]/5+7/21+[-4]/5+7/5=([-3]/5+[-4]/5+7/5)+7/21=0/5+7/21=7/21`

`b// [-3]/17+(2/3+3/17)=[-3]/17+2/3+3/17=([-3]/17+3/17)+2/3=0/17+2/3=2/3`

`c// [-5]/21+([-16]/21+1)=[-5]/21+[-16]/21+1=([-5]/21+[-16]/21)+1=[-21]/21+1=-1+1=0`

a) \(\dfrac{-3}{5}+\dfrac{7}{21}+\dfrac{-4}{5}+\dfrac{7}{5}\)

\(=\left(-\dfrac{3}{5}+\dfrac{-4}{5}+\dfrac{7}{5}\right)+\dfrac{7}{21}\)

\(=0+\dfrac{7}{21}\)

\(=\dfrac{7}{21}\)

b) `-3/17 + ( 2/3 + 3/17)`

` = -3/17 +  2/3 + 3/17`

` = 2/3 + ( -3/17 +3/17)`

` = 2/3 + 0`

` = 2/3`

c) 

` -5/21 + ( -16/21 +1)`

\(=\dfrac{-5}{21}+\dfrac{-16}{21}+1\)

\(=\left(\dfrac{-5}{21}+\dfrac{-16}{21}\right)+1\)

\(=-1+1=0\)

a 7

b -6800

a: =(-3+3)+(7+13)+(-9+50-54)

=20-13

=7

b: \(=-8\cdot21+8\cdot13-8\cdot72-80\cdot21+80\cdot76-80\cdot132\)

=-6800

a: =(-3+3)+(7+13)+(-9+50-54)

=20-13

=7

b: 

=-6800