Question

O Valor da Expressão (2,555...-  2 sobre 9) : (1,4 - 7 sobre 18) :

                                                          

Answer 1

2,555... = 2 +5/9 = 23/9
1,4 = 14/10 = 7/5

(2,555... - 2/9) : (1,4 - 7/18) =
 (23/9 - 2/9) : ( 7/5 - 7/18) = ----mmc(5,18) = 90
 21/9 : (126/90 - 35/90)=
 21/9 : 91/90 = 21/9 . 90/91= 1890/819 = 210/91

Answer 2

2,555.. → 23/9
1,4 → 7/5

$\boxed{ \frac{ \frac{23}{9}- \frac{2}{9} }{ \frac{7}{5}- \frac{7}{18} } ~\to~ \frac{ \frac{21}{9} }{ \frac{91}{90} } \to \frac{21.90}{9.91} \to \frac{1890^{\div9}}{819^{\div9}}\to \frac{210}{91} }$