A) 1
B) \[\frac{19}{43}\]
C) \[\frac{43}{19}\]
D) \[\frac{38}{43}\]
Correct Answer: A
Solution :
\[\frac{19}{43}\div \frac{1}{2+\frac{1}{3+\frac{1}{1+\frac{1}{4}}}}\] \[=\frac{19}{43}\div \frac{1}{2+\frac{1}{3+\frac{4}{5}}}\] \[=\frac{19}{43}\div \frac{1}{2+\frac{5}{19}}=\frac{19}{43}\div \frac{19}{43}\] \[=\frac{19}{43}\times \frac{43}{19}=1\]
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