\(1+\frac{2}{1+\frac{2}{1+\frac{2}{3}}}\)
\(=1+\frac{2}{1+\frac{2}{\frac{5}{3}}}\)
\(=1+\frac{2}{1+\frac{6}{5}}\)
\(=1+\frac{2}{\frac{11}{5}}\)
\(=1+\frac{10}{11}\)
\(=\frac{21}{11}\)
1+2/3=5/3
=> 2:(1+2/3)=6/5
1+6/5=11/5
2:(11/5)=10/11
1+10/11=21/11
ĐS: \(\frac{21}{11}\)
21/11
Ủng hộ đi đang bị âm nhe
Kết bạn nữa
\(1+\frac{2}{1+\frac{2}{1+\frac{2}{3}}}=1+\frac{2}{1+\frac{2}{\frac{5}{3}}}=1+\frac{2}{1+\frac{6}{5}}=1+\frac{2}{\frac{11}{5}}=1+\frac{10}{11}=\frac{21}{11}\)
\(=\frac{21}{11}\)
\(1+\frac{2}{1+\frac{2}{1+\frac{2}{3}}}=1+\frac{2}{1+\frac{2}{\frac{5}{3}}}=1+\frac{2}{1+\frac{6}{5}}=1+\frac{2}{\frac{11}{5}}=1+\frac{10}{11}=\frac{21}{11}\)
\(=\frac{21}{11}\)
vậy giá trị của biểu thức trên là:\(\frac{21}{11}\)