Answer:
= 4/3
Explanation:
To solve this expression, we need to apply the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Starting from the innermost set of parentheses, we have:
1 - 1/2 = 1/2
Substituting this value into the expression, we have:
1 + 1/(1 + 1/(1/2))
Next, we can simplify the expression inside the parentheses:
1/2 = 2/4, so 1 + 1/(1 + 1/(1/2)) becomes:
1 + 1/(1 + 1/(2/4))
1 + 1/(1 + 2)
1 + 1/3
4/3
Therefore, 1 + 1/(1 + 1/(1 - 1/2)) simplifies to 4/3.