Question

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

• A. 3/5
• B. 5/8
• C. 5/3
• D. 2/8

Answer 1

Answer:

B. 5/8

• $(\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac12}}})$

• $1 + \frac12 = \frac{2+1}{2} = \frac32$

• $\frac{1}{\frac32} = \frac23$

• $1 + \frac23 = \frac{3+2}{3} = \frac53$

• $\frac{1}{\frac53} = \frac35$

• $1 + \frac35 = \frac{5+3}{5} = \frac85$

• $\frac{1}{\frac85} = \frac58$