Question

$\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac13}}}$

• A. 11/7
• B. 10/7
• C. 7/10
• D. 7/11

Answer 1

Answer:

D. 7/11

$\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac13}}}$

$=\frac{1}{1+\frac{1}{1+\frac{1}{4/3}}}$

$=\frac{1}{1+\frac{1}{1+3/4}}$

$=\frac{1}{1+\frac{1}{7/4}}$

$=\frac{1}{1+4/7}$

$=\frac{1}{11/7}$

$=\frac{7}{11}$