What is the value of 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 2)}] = - mathselab.com

What is the value of 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 2)}] = ?

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





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