Question 30

Simplify $$3+\frac{1}{1+\frac{1}{2+\frac{1}{4}}}$$ ?

Solution

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$$3+\frac{1}{1+\frac{1}{2+\frac{1}{4}}}$$

$$3+\frac{1}{1+\frac{1}{\frac{9}{4}}}$$

$$3+\frac{1}{1+\frac{4}{9}}$$

$$3+\frac{1}{\frac{13}{9}}$$ 

$$3+{\frac{9}{13}}$$

$$\frac{48}{13}$$


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