45/44 

45/44 

45/44

b   fhhhggbbbvgftfhmnhmcvch

x = \(\frac{45}{44}\)

Ta có \(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right):x=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{132}\)
                                              \(\frac{15}{16}:x=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{11.12}\)
                                              \(\frac{15}{16}:x=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{11}-\frac{1}{12}\)
                                              \(\frac{15}{16}:x=1-\frac{1}{12}\)
                                              \(\frac{15}{16}:x=\frac{11}{12}\)
                                              \(x=\frac{15}{16}:\frac{11}{12}\)
                                              \(x=\frac{180}{176}\)
Đúng thì like nha

\(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right):x=\frac{1}{2}+\frac{1}{6}+....+\frac{1}{32}\)

\(\left(\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}\right):x=\frac{1}{1\times2}+\frac{1}{2\times3}+.....+\frac{1}{11\times12}\)

\(\frac{15}{16}:x=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-....-\frac{1}{12}\)

\(\frac{15}{16}:x=1-\frac{1}{12}\)

\(\frac{15}{16}:x=\frac{11}{12}\)

\(x=\frac{15}{16}:\frac{11}{12}\)

\(x=\frac{45}{44}\)

Tính \(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)

2 x A = \(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}\)

2 x A - A = A =  \(1-\frac{1}{16}=\frac{15}{16}\)

Tính \(B=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{132}=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+....+\frac{1}{11\times12}\)

 \(B=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{11}-\frac{1}{12}=\frac{1}{1}-\frac{1}{12}=\frac{11}{12}\)

Ta có: \(\frac{15}{16}:x=\frac{11}{12}\Rightarrow x=\frac{15}{16}:\frac{11}{12}=\frac{15}{16}\times\frac{12}{11}=\frac{45}{44}\)

Vậy...

kết quả là \(\frac{45}{44}\)

\(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)\div x=\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{32}\right)\)

\(\left(\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}\right)\div x=\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{11.12}\right)\)

\(\frac{15}{16}\div x=\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{11}-\frac{1}{12}\right)\)

 \(\frac{15}{16}\div x=\left(\frac{1}{1}-\frac{1}{12}\right)\)

 \(\frac{15}{16}\div x=\frac{11}{12}\)

\(x=\frac{15}{16}\div\frac{11}{12}\)

\(x=\frac{15}{16}\times\frac{12}{11}\)

\(\Rightarrow x=\frac{180}{176}=\frac{45}{44}\)

(1/2+1/4+1/8+1/16):x=1/2+1/6+1/12+.....+1/132

15/16 : x = 1/1x2+1/2x3+1/3x4+.........+1/11x12

15/16 : x = 1-1/2+1/2-1/3+1/3-1/4+........+1/11-1/12

15/16 :x = 1-1/12

15/16 : x = 11/12

           x = 15/16 : 11/12

           x= 45/44