A) \[1\frac{1}{3}\]
B) \[1\]
C) \[1\frac{1}{7}\]
D) \[1\frac{1}{4}\]
Correct Answer: B
Solution :
\[\left[ 1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}} \right]\div 1\frac{4}{7}\] \[=\,\,\,\left[ 1+\frac{1}{1+\frac{3}{4}} \right]\div \frac{11}{7}=\left[ 1+\frac{4}{7} \right]\div \frac{11}{7}\] \[=\frac{11}{7}\div \frac{11}{7}=\frac{11}{7}\times \frac{7}{11}=\underline{\mathbf{1}}\]
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