Question

encontre uma fração representando a expressão 2/3 - 0,12313131...3 x 1,222...
me ajudem pls

Answer 1

$2/3 - 0,12313131... \times 1,222... = \\ \frac{2}{3} - x \times y \\ \\ x = 0.123131... \\ 100x = 12.3131... \\ 10000x = 1231.3131.. \\ 9900x = 1219 \\ x = \frac{1219}{9900} \\ \\ y = 1.222... \\ 10y = 12.222... \\ 9y = 11 \\ y = \frac{11}{9} \\ \\ \\ \frac{2}{3} - \frac{1219}{9900} \times \frac{11}{9} = \\ \\ \frac{2}{3} - \frac{13409}{89100} = \\ \\ \frac{59400}{89100} - \frac{13409}{89100} = \frac{45991}{89100} =$