Question

Simplify the following:
$1÷[1+1÷\{1+1÷1(1+1÷2\left)\right\}]+1$

• A. $2\frac{1}{2}$
• B. $2$
• C. $1\frac{1}{2}$
• D. $1\frac{5}{8}$

Answer 1

The correct option is D $1\frac{5}{8}$

Given expression
$1÷[1+1÷\{1+1÷1(1+1÷2\left)\right\}]+1$
$=1÷[1+1÷\{1+1\times \frac{2}{3}\}]+1$

$=1÷[1+1\times \frac{3}{5}]+1$

$=1\frac{5}{8}$