Question

Value of $\frac{1}{1+\frac{1}{1-\frac{1}{6}}}$ is:

• A. $\frac{16}{11}$
• B. 1
• C. $\frac{11}{16}$
• D. 10

Answer 1

The correct option is A

$\frac{16}{11}$

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

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

$=1+\frac{11}{5}=\frac{16}{11}$