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Question 1
The value of 
(1)/(2(1)/(2(1)/(2(1)/(2)))) is equal to 
qquad .

Question 11\newlineThe value of 12121212 \frac{1}{2 \frac{1}{2 \frac{1}{2 \frac{1}{2}}}} is equal to \qquad .

Full solution

Q. Question 11\newlineThe value of 12121212 \frac{1}{2 \frac{1}{2 \frac{1}{2 \frac{1}{2}}}} is equal to \qquad .
  1. Simplify Innermost Fraction: First, let's simplify the expression from the inside out. Start with the innermost fraction.\newline(1)/(2(1)/(2))=(1)/(2×1/2)=(1)/(1)(1)/(2(1)/(2)) = (1)/(2 \times 1/2) = (1)/(1)
  2. Continue Simplifying: Now, take the result and continue simplifying the next level.\newline(1)/(2(1)/(1))=(1)/(2×1)=(1)/(2)(1)/(2(1)/(1)) = (1)/(2 \times 1) = (1)/(2)
  3. Simplify Outermost Expression: Finally, simplify the outermost expression using the result from the previous step.\newline(12(12))=(12×12)=(11)(\frac{1}{2(\frac{1}{2})}) = (\frac{1}{2 \times \frac{1}{2}}) = (\frac{1}{1})

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