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\(=\frac{6}{5}\times\frac{7}{6}\times...\times\frac{11}{10}\)(lại lỗi đề)
\(=\frac{6×7×...×11}{5×6×...×10}\)
\(=\frac{11}{5}\)
\(1\frac{1}{5}\cdot1\frac{1}{6}\cdot1\frac{1}{7}\cdot1\frac{1}{8}\cdot1\frac{1}{9}\cdot1\frac{1}{10}\)
\(=\frac{6}{5}\cdot\frac{7}{6}\cdot\frac{8}{7}\cdot\frac{9}{8}\cdot\frac{10}{9}\cdot\frac{11}{10}\)
\(=\frac{6\cdot7\cdot8\cdot9\cdot10\cdot11}{5\cdot6\cdot7\cdot8\cdot9\cdot10}\)
\(=\frac{11}{5}\)
1 + 1 = 2
2 + 3= 5
6 + 6 = 12
Tìm x:
X + 3,68 = 4,035
X = 4,035 - 3,68
X = 0,355
5,0165 : X = 5
X = 5,0165 : 5
X = 1,0033
Ủng hộ nha! :)
Bài 1 :
1 + 1 = 2
2 + 3 = 5
6 + 6 = 12
Bài 2 :
x + 3,68 = 4,035
x = 4,035 - 3,68
x = 0,35
5,0165 : x = 5
x = 5,0165 : 5
x = 1.0033
\(x\times2+x\times\frac{1}{5}=1\frac{3}{5}\)
\(x\times\left(2+\frac{1}{5}\right)=\frac{8}{5}\)
\(x\times\frac{11}{5}=\frac{8}{5}\)
\(x=\frac{8}{5}\div\frac{11}{5}\)
\(x=\frac{8}{11}\)
\(\Rightarrow x.\left(2+\frac{1}{5}\right)=\frac{8}{5}\)
\(\Rightarrow\frac{11}{5}x=\frac{8}{5}\)
\(\Rightarrow x=\frac{8}{11}\)
\(1\frac{1}{5}\cdot1\frac{1}{6}\cdot...\cdot1\frac{1}{2014}=x\)
\(\frac{6}{5}\cdot\frac{7}{6}\cdot...\cdot\frac{2015}{2014}=x\)
\(\frac{6\cdot7\cdot...\cdot2015}{5\cdot6\cdot...\cdot2014}=x\)
\(\frac{2015}{5}=x\)
\(2015:5=x\)
\(403=x\)
Vậy : \(x=403\)
\(\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x...x\left(1-\frac{1}{2014}\right)\)
A = \(\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{2012}{2013}x\frac{2013}{2014}\)
A = \(\frac{2x3x4x...x2012x2013}{3x4x5x...x2013x2014}\)
a = \(\frac{2}{2014}=\frac{1}{1007}\)
\(1\frac{1}{3}\times1\frac{1}{4}\times1\frac{1}{5}\times1\frac{1}{6}\times1\frac{1}{7}\times1\frac{1}{8}\)
\(=\)\(\frac{4}{3}\times\frac{5}{4}\times\frac{6}{5}\times\frac{7}{6}\times\frac{8}{7}\times\frac{9}{8}\)
\(=\)\(\frac{9}{3}\)
\(=\)\(3\)
\(1\frac{1}{3}\times1\frac{1}{4}\times1\frac{1}{5}\times1\frac{1}{6}\times1\frac{1}{7}\times1\frac{1}{8}\)
\(=\frac{4}{3}\times\frac{5}{4}\times\frac{6}{5}\times\frac{7}{6}\times\frac{8}{7}\times\frac{9}{8}\)
Rút gọn phép tính trên ta được :
\(=\frac{9}{3}=3\)
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}\cdots+\frac{1}{x\left(x+1\right)}=\frac{2021}{2022}\)
\(1-\frac12+\frac12-\frac13+\frac13-\frac14+\cdots+\frac{1}{x}-\frac{1}{x+1}=\frac{2021}{2022}\)
\(1-\frac{1}{x+1}=\frac{2021}{2022}\)
\(\frac{1}{x+1}=1-\frac{2021}{2022}\)
\(\frac{1}{x+1}=\frac{1}{2022}\)
\(x+1=2022\)
\(x=2021\)