Question

tính

a)\(2+\frac{1}{1+\frac{1}{2}}\)

b)\(2+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{2}}}}\)

Answer 1

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

=2+\(\frac{1}{\frac{3}{2}}\)

=2+1:3/2

=2+2/3

=8/3

b. bn viet de sao ma mk chang hieu

Answer 2

a) \(2+\frac{1}{1+\frac{1}{2}}=2+\frac{1}{\frac{3}{2}}=2+\frac{2}{3}=\frac{8}{3}\)

b) \(2+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{2}}}}\)

\(=2+\frac{1}{1+\frac{1}{2+\frac{1}{\frac{3}{2}}}}\)

\(=2+\frac{1}{1+\frac{1}{2+\frac{2}{3}}}\)

\(=2+\frac{1}{1+\frac{1}{\frac{8}{3}}}\)

\(=2+\frac{1}{1+\frac{3}{8}}\)

\(=2+\frac{1}{\frac{11}{8}}\)

\(=2+\frac{8}{11}\)

\(=\frac{30}{11}\)