a) \(A=\dfrac{3737.43-4343.37}{2+4+6+...+2018}\)

\(\Leftrightarrow A=\dfrac{3737.43-43.101.37}{2+4+6+...+2018}\)

\(\Leftrightarrow A=\dfrac{3737.43-43.3737}{2+4+6+...+2018}\)

\(\Leftrightarrow A=\dfrac{0}{2+4+6+...+2018}\)

\(\Leftrightarrow A=0\)

b) \(B=\dfrac{101+100+99+...+3+2+1}{101-100+99-98+...+3-2+1}\)

\(\Leftrightarrow B=\dfrac{\left(101+1\right).101:2}{\left(101+99+97+...+1\right)-\left(100+98+96+...+2\right)}\)

\(\Leftrightarrow B=\dfrac{5151}{\left[\left(101+1\right).51:2\right]-\left[\left(100+2\right).50:2\right]}\)

\(\Leftrightarrow B=\dfrac{5151}{2601-2550}\)

\(\Leftrightarrow B=\dfrac{5151}{51}\)

\(\Leftrightarrow B=101\)

    \(B=\frac{3737.43-4343.37}{2+4+6+...+100}\)

=>\(B=\frac{37.101.43-4343.37}{2+4+6+...+100}\)

=>\(B=\frac{37.4343-4343.37}{2+4+6+...+100}\)

=>\(B=\frac{0}{2+4+6+...+100}\)

=>\(B=0\)

=> \(B=\frac{37.101.43-43.101.37}{2+4+6+...+100}=\frac{0}{2+4+6+...+100}=0\)

C  = \(\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)

\(C=\frac{\left(101+1\right).101:2}{1+1+...+1+1}\)

\(C=\frac{5151}{51}\)

\(C=101\)

b) \(D=\frac{3737.43-4343.37}{2+4+6+...+100}\)

\(D=\frac{37.101.43-43.101.37}{2+4+6+...+100}\)

\(D=\frac{0}{2+4+6+...+100}\)

\(D=0\)

a)C=101

b)d=0

a) \(C=\frac{101+100+99+98+...+3+2+1}{101-100+99-98...+3-2+1}\)

\(=\frac{\left(101+1\right).\left[\left(101-1\right):1+1\right]:2}{\left(101-100\right)+\left(99-98\right)+\left(3-2\right)+1}\)

\(=\frac{102.101:2}{1+1+...+1}\)

\(=\frac{51.101}{51}\)

\(=101.\)

\(\frac{3737.43-4343.7}{2+4+6+...+100}\)

\(=\frac{37.101.43-4343.37}{2+4+6+...+100}\)

\(=\frac{37.4343-4343.37}{2+4+6+...+100}\)

\(=\frac{0}{2+4+6+...+100}\)

Ta có : Tử số bằng 0 \(\Rightarrow\) phân số trên bằng 0

\(=0\)

\(\frac{3737.43-4343.7}{2+4+6+....+100}\)

=\(\frac{37.101.43-4343.37}{2+4+6+...+100}\)

\(=\frac{37.4343-4343.37}{2+4+6+....+100}\\ =\frac{0}{2+4+6+...+100}\\ =0\)

Bài dưới : 

2 + 4 + 6 + ... +2016

Số các số là :

 ( 2016 - 2 ) : 2 + 1 = 1008

Tổng các số là :

  1008 x ( 2016 + 2 ): 2 = 1017072

   Đáp số : 1017072

Số cần tim là: 1017072

Ai tích mik mik sẽ tích lại nha !

A= (3737 . 43 - 4343 .37) . 2016

------------------------------------------------

2+4+6+ ................... +2016

Biến đổi thành:

    ( 3737 . 43 - 4343 . 37) . 2016

=  ( 37. 101. 43 - 43. 101. 37) . 2016

=  0 . 2016

=  0

Vậy A = 0

a) \(\frac{27.45+55.27}{2+4+6+8+...+16+18}=\frac{27.\left(45+55\right)}{\left(2+18\right)+\left(16+4\right)+\left(14+6\right)+\left(12+8\right)}\)

\(=\frac{27.100}{20+20+20+20}=\frac{2700}{20.4}=\frac{2700}{80}=\frac{135}{4}\)

b) Lười

Làm giống câu a nhé

xin lỗi! mik ko rảnh

3737 x 43 - 4343 x 37 / 2 + 4 + 6 + ... +100
= 3737 x 43 - 4343 x 37 / 2 + 4 + 6+ ....+ 100
= 0/ 2 + 4+ 6 + ...+ 100
= 0
het rui
 

C = \(\frac{3737\times43-4343\times7}{2+\text{4}+6+....+100}\)

C = \(\frac{160691-4343\times7}{\left(100-2\right)\div2+1}\)

C = \(\frac{160691-30401}{50}\)

C = \(\frac{130290}{\left(100+2\right)\times50\div2}\)

C = \(\frac{120290}{2550}=\frac{12029}{255}\)

kết quả là 36360 / 255 mới đúng nhé tớ chưa rút gọn hết nhé các bạn đừng hiểu sai