Question

Tính:

 \(S=2+\frac{1}{2+\frac{1}{2+\frac{1}{2}}}\)

Answer 1

Ta có: \(S=2+\frac{1}{2+\frac{1}{2+\frac{1}{2}}}=2+\frac{1}{2+\frac{1}{\frac{5}{2}}}=2+\frac{1}{2+\frac{2}{5}}\)

                                                       \(=2+\frac{1}{\frac{12}{5}}=2+\frac{5}{12}=\frac{29}{12}\)

nha m.n

Answer 2

Kết quả = \(3\frac{1}{5}\)

Hoặc \(3,5\)

Answer 3

\(S=2+\frac{1}{2+\frac{1}{2+\frac{1}{2}}}=2+\frac{1}{2+\frac{1}{\frac{5}{2}}}=2+\frac{1}{2+\frac{2}{5}}=2+\frac{1}{\frac{12}{5}}=2+\frac{5}{12}=\frac{29}{12}\)

Answer 4

\(=\frac{29}{12}=2.41\left(6\right)\)

Answer 5

\(S=2+\frac{1}{2+\frac{1}{2+\frac{1}{2}}}\)

\(S=2+\frac{1}{2+\frac{1}{\frac{5}{2}}}\)

\(S=2+\frac{1}{2+\frac{2}{5}}\)

\(S=2+\frac{1}{\frac{12}{5}}\)

\(S=2+\frac{5}{12}\)

\(S=\frac{29}{12}=2,41\left(6\right)\)