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 $4$
$1+\frac{1}{1+\frac{1}{1+\frac{1}{4+\frac{1}{4}}}}$
Learn how to solve addition of numbers problems step by step online.
$1+\frac{1}{1+\frac{1}{1+\frac{1}{4+\frac{1}{4}}}}$
Learn how to solve addition of numbers problems step by step online. Simplify 1+1/(1+1/(1+1/(4+1/4))). Divide 1 by 4. Combine 1+\frac{1}{4+\frac{1}{4}} in a single fraction. Divide fractions \frac{1}{\frac{\frac{21}{4}}{4+\frac{1}{4}}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Divide \frac{17}{4} by \frac{21}{4}.
Final Answer
$\frac{59}{38}$