Question

transforme os numeros decimai em fração e efetue as operações
a)(0,222...)+(0,555...)-(0,777...)
b)(0.888...) : (5,666...)
c)(1,8333...) . (0,52727...)

Answer 1

Bom dia!

a) $0,222\ldots+0,555\ldots-0,777\ldots=\frac{2}{9}+\frac{5}{9}-\frac{7}{9}=\frac{2+5-7}{9}=0$

b) $0,888\ldots\div{5,666\ldots}=\frac{8}{9}\div\left(5\frac{6}{9}\right)=\frac{8}{9}\div\frac{5\times{9}+6}{9}=\frac{8}{9}\times\frac{9}{51}=\frac{8}{51}$

c) $1,8333\ldots\cdot{0,52727\ldots}=1\frac{83-8}{90}\cdot\frac{527-5}{990}=\frac{1\cdot{90}+75}{90}\cdot\frac{522}{990}=\frac{165}{90}\cdot\frac{522}{990}=\frac{11}{6}\cdot\frac{29}{55}=\frac{29}{30}$

Espero ter ajudado!