Question

Determine a fração da dízima :

2,108108108...

junto com o resultado a conta também .

Answer 1

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}2,108108108...=\\\\2+0,108108108 = \\\\2 + \frac{108}{999} = \\\\\frac{1998+108}{999} = \\\\\boxed{\boxed{\frac{2106}{999} = \frac{702}{333} = \frac{234}{111} = \frac{78}{37}}}\end{array}\right$

Espero ter ajudado. :))