Question

se x= 1,333... e y=0,1666...., escreva x e y em fração:
calcule o valor de 
a) x+y
b)x-y
c)x.y
d)x/y
e)x²

me ajuda, preciso das contas obrigada!! 

Answer 1

$x=1,333...=1+0,333...=1+\frac{3}{9}=1+\frac{1}{3}=\frac{4}{3}\\ \\ y=0,1666...\\ 10y=1,666...=1+0,6666...=1+\frac{6}{9}=1+\frac{2}{3}=\frac{5}{3}\\ \\ a) x+y=\frac{4}{3}+\frac{5}{3}=\frac{9}{3}=3\\ \\ b) x-y=\frac{4}{3}-\frac{5}{3}=-\frac{1}{3}\\ \\ c)xy=\frac{4}{3}.\frac{5}{3}=\frac{20}{9}\\ \\ d)\frac{x}{y}=\frac{\frac{4}{3}}{\frac{5}{3}}=\frac{4}{5}\\ \\ x^2=(\frac{4}{3})^2=\frac{16}{9}$