Question

la fracción generatriz de (0,5+0,666...-0,0555...)×9 sobre 10

Answer 1

$(0.5 + 0.6666...- 0.0555...) \times \frac{9}{10} \\ ( \frac{1}{2} + \frac{6}{9} - \frac{5}{90}) \times \frac{9}{10} \\ ( \frac{21}{18} - \frac{5}{90} ) \times \frac{9}{10} \\ ( \frac{21 \times 5}{18 \times 5} - \frac{5}{90} ) \times \frac{9}{10} \\ ( \frac{105}{90} - \frac{5}{90} ) \times \frac{9}{10} \\ ( \frac{100}{90} ) \times \frac{9}{10} \\ \frac{10}{9} \times \frac{9}{10} = \frac{90}{90} = 1$