2-2-2-2-2-2-2-2-2-2-3-

Question Number 205941 by cortano12 last updated on 03/Apr/24

2 + \frac{2}{2 - \frac{2}{2 + \frac{2}{2 - \frac{2}{2 + \frac{2}{3}}}}} = ?

Answered by mr W last updated on 03/Apr/24

2 + \frac{2}{2 - \frac{2}{2 + \frac{2}{2 - \frac{2}{2 + \frac{2}{3}}}}}

= 2 + \frac{2}{2 - \frac{2}{2 + \frac{2}{2 - \frac{3}{4}}}}

= 2 + \frac{2}{2 - \frac{2}{2 + \frac{8}{5}}}

= 2 + \frac{2}{2 - \frac{5}{9}}

= 2 + \frac{18}{13}

= \frac{44}{13} ✓

Commented by cortano12 last updated on 03/Apr/24

n o t 3 \frac{5}{13} ?

Commented by Frix last updated on 03/Apr/24

3 \frac{5}{13} = 3 + \frac{5}{13} = \frac{39}{13} + \frac{5}{13} = \frac{44}{13}

Commented by cortano12 last updated on 03/Apr/24

a n y t r i c k m e t h o d f o r t h i s q u e s t i o n ?

Commented by Frix last updated on 04/Apr/24

I {don}^{'} t think there is .

Commented by BaliramKumar last updated on 05/Apr/24

Commented by cortano12 last updated on 05/Apr/24

c a n y o u e x p l a i n t h e t r i c k ?

Commented by BaliramKumar last updated on 05/Apr/24

Commented by BaliramKumar last updated on 05/Apr/24