Question

Convert 3.2 repenting decimal into a fraction

Answer 1

$x =3.\bar{2}\\10x = 32.\bar{2}\\\\ 10x - x = 32.\bar{2} - 3.\bar{2}\\9x = 29\\x = \frac{29}{9}\\\\\\ \boxed{\bf{\frac{32}{9} = 3.\bar{2}}}$