Question
What is the value of 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 2)}] = ?
A. 0.600
B. 0.625
C. 1.625
D. 1.600
Answer: B. 0.625
Solution:
1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 2)}]
= 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1.5)}]
= 1 ÷ [1 + 1 ÷ {5 / 3}] or 1 ÷ [1 + 1 ÷ {1.666666667}]
= 1 ÷ [8 / 5] or 1 ÷ 1.6
= 5 / 8 or 0.625