Question

A solução da expressão 9.(1,2525...+0,888...) é:
a)8/9
b)240/33
c)212/11
d)132/9
e)124/99

Answer 1

$> resolucao \\ \\ \geqslant fracao \: geratriz \\ \\ \\ = 1.2525... + 0.888.... \\ \\ = \frac{125 - 1}{99} + \frac{8}{9} \\ \\ = \frac{124}{99} + \frac{8}{9} > > mmc = 99 \\ \\ = \frac{124 + 88}{99} \\ \\ = \frac{212}{99} \\ \\ \\ \\ > < > < > < < > < > < >$