Question

The value of $1+\frac{1}{1+\frac{1}{1-\frac{1}{6}}}$ is ___________.

• A. $\frac{6}{11}$
• B. $\frac{16}{11}$
• C. $\frac{7}{6}$
• D. $\frac{1}{6}$

Answer 1

The correct option is B $\frac{16}{11}$

$1+\frac{1}{1+\frac{1}{1-\frac{1}{6}}}$

= $1+\frac{1}{1+\frac{1}{\frac{5}{6}}}$

=$1+\frac{1}{1+\frac{6}{5}}$

=$1+\frac{1}{\frac{11}{5}}$

=$1+\frac{5}{11}$

=$\frac{16}{11}$