Question

The value of$\frac{1}{1+\frac{1}{3+\frac{1}{2+1/4}}}$

• A. 17/22
• B. 40/31
• C. 21/25
• D. 13/16

Answer 1

Answer:

C. 21/25

$\frac{1}{1+\frac{1}{3+\frac{1}{2+1/4}}}$

$=\frac{1}{1+\frac{1}{3+\frac{1}{9/4}}}$

$\frac{1}{1+\frac{1}{3+9/4}}$

$\frac{1}{1+\frac{1}{21/4}}$

$=\frac{1}{1+4/21}$

$=\frac{1}{25/21}$

$=21/25$