Question

encontre a fração geratriz de cada dízima periodica.5,11...e 0,666...

Answer 1

5,111... = 5 + 0,111...
x = 0,111...
10x = 1 + x
9x = 1
x = 1/9

5,111... = 5 + 1/9
5,111... 46/9

0,666... = x
10x = 6 + x
9x = 6
x = 6/9

Answer 2

resolução!

X = 5,111....

X = 51 - 5/9

X = 46/9

X = 0,666...

X = 6/9 ÷ 3

X = 2/3