Final Answer
$\frac{59}{38}$
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Step-by-step Solution
Problem to solve:
$1+\frac{1}{1+\frac{1}{1+\frac{1}{4+\frac{1}{4}}}}$
Specify the solving method
1
Divide $1$ by $4$
$1+\frac{1}{1+\frac{1}{1+\frac{1}{4+\frac{1}{4}}}}$
2
Combine $1+\frac{1}{4+\frac{1}{4}}$ in a single fraction
$\frac{59}{38}$
Final Answer
$\frac{59}{38}$