Question

$\frac{1}{1+\frac{1}{1+\frac{1}{1-\frac12}}}$

• A. 1/2
• B. 2/3
• C. 3/4
• D. 1/4

Answer 1

Answer:

C. 3/4

$\frac{1}{1+\frac{1}{1+\frac{1}{1-\frac12}}}$

$=\frac{1}{1+\frac{1}{1+\frac{1}{1/2}}}$

$=\frac{1}{1+\frac{1}{1+2}}$

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

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

$=3/4$