Question

Write the following expression as a fraction in lowest terms:

\[2 + \cfrac{2}{2 + \cfrac{3}{3 + \cfrac{4}{4 + 5}}}.\]

Answer 1

2 62/89

Explanation:

reduce its not super hard lmk if u need help

Answer 2

Explanation:

`\[2 + \cfrac{2}{2 + \cfrac{3}{3 + \cfrac{4}{4 + 5}}}\]=`

`\[2 + \cfrac{2}{2 + \cfrac{3}{3 + \cfrac{4}{9}}}\]=`

`\[2 + \cfrac{2}{2 + \cfrac{3}{\cfrac{31}{9}}}\]=`

`\[2 + \cfrac{2}{2 + \cfrac{27}{31} }}}\]=`

`\[2 + \cfrac{2}{ \cfrac{62+27}{31} }}}\]=`

`\[2 + \cfrac{2}{ \cfrac{89}{31} }}}\]=`

`\[2 + \cfrac{62}{{89} }}}\]=`

`\[2 \cfrac{62}{{89} }}}\]`