Simplify $\frac{2}{\frac{1}{3}-\frac{1}{\frac{1}{4}+\frac{1}{\frac{1}{5}}}}$. Given that \(\frac{1

Question

Simplify $\frac{2}{\frac{1}{3}-\frac{1}{\frac{1}{4}+\frac{1}{\frac{1}{5}}}}$. Given that $\frac{1165}{373}$ can be written as $3+\frac{1}{{{a}^{3}}+\frac{1}{{{b}^{2}}+\frac{1}{c}}}$, and $b>a$, find the integer values of $a$, $b$ and $c$.

Accepted Answer

(a) $14$ (b) $a=2,\ b=3,\ c=5$

Simplifying Complex Fractions and Expressing in Continued Fraction Form

Simplifying Complex Fractions and Expressing in Continued Fraction Form

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