Question

Obtenha o valor de y na forma decimal.

Answer 1

$0,666...= \frac{6}{9}$

$\frac{6}{9} + \frac{4- \frac{14}{9} }{1+ \frac{1}{3} } =y$

$\frac{36-14}{9} = \frac{22}{9}$

$\frac{3+1}{3} = \frac{4}{3}$

$\frac{6}{9} + \frac{ \frac{22}{9} }{ \frac{4}{3} } =y$$\frac{22}{9} / \frac{4}{3} = \frac{22}{9} * \frac{3}{4} = \frac{66}{36} = \frac{11}{6}$

$\frac{6}{9} + \frac{11}{6} = \frac{4}{6} + \frac{11}{6} = \frac{15}{6} = 2,5$

Resultado: 2,5