\(A=\frac{9}{1}+\frac{8}{2}+\frac{7}{3}+\frac{6}{4}+\frac{5}{5}+\frac{4}{6}+\frac{3}{7}+\frac{2}{8}+\frac{1}{9}\)

\(=\left(9-1-1-...1\right)+\left(\frac{8}{2}+1\right)+\left(\frac{7}{3}+1\right)+...+\left(\frac{1}{9}+1\right)\)

\(=1+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}=\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}+\frac{10}{10}\)

\(=10\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}\right)=10B\)

vậy A:B=10

\(A=\)\(\frac{9}{1}+\frac{8}{2}+\frac{7}{3}+...+\frac{1}{9}\)

\(A=\left(\frac{9}{1}-8\right)+\left(\frac{8}{2}+1\right)+\left(\frac{7}{3}+1\right)+...+\left(\frac{1}{9}+1\right)\)

\(A=1+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}\)

\(A=\frac{10}{10}+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}\)

\(A=10\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{9}+\frac{1}{10}\right)>\frac{1}{2}+\frac{1}{3}+...+\frac{1}{10}=B\)

\(\Rightarrow A:B=\frac{10\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{10}\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}}\)\(=10\)

Vậy \(A:B=10\)

A = \(10\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{10}\right)\)

A : B = 10 

thương A chia B là \(\frac{A}{B}\)

ta có :

\(\frac{A}{B}=\frac{\frac{9}{1}+\frac{8}{2}+\frac{7}{3}+...+\frac{1}{9}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}}\)

\(\frac{A}{B}=\frac{\left(\frac{8}{2}+1\right)+\left(\frac{7}{3}+1\right)+...+\left(\frac{1}{9}+1\right)+1}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}}\)

\(\frac{A}{B}=\frac{\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}+\frac{10}{10}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{9}+\frac{1}{10}}\)

\(\frac{A}{B}=\frac{10\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}}\)

\(\frac{A}{B}=10\)

\(\frac{A}{B}\)= 10

\(A=\frac{9}{1}+\frac{8}{2}+\frac{7}{3}+...+\frac{1}{9}\)

\(=\frac{10-1}{1}+\frac{10-2}{2}+\frac{10-3}{3}+...+\frac{10-9}{9}\)

\(=10+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}-\left(\frac{1}{1}+\frac{2}{2}+\frac{3}{3}+...+\frac{9}{9}\right)\)

\(=10+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}-9\)

\(=\left(10-9\right)+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}\)

\(=1+\frac{10}{2}+\frac{10}{3}+...+\frac{10}{9}\)

\(=10\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{9}+\frac{1}{10}\right)=10B\)

=> A : B = 10 

Vậy A : B = 10

Giải giúp mình với đi

a 86-5(x+7)=6

=> 5(x+7)=80

=> x+7=16

=> x=9

b 3^x+1=3^5:9

=>3^x+1=3^5:3^2

=> 3^x+1=27

=> 3^x=26 ????

86 - 5(x+7) = 6

5(x+7) = 80

x + 7 = 16

x = 9

3^x+1 = 3⁵ : 9 = 27

Mà 27 = 3³

=> x + 1 = 3

x = 2