Question

qual e a geratriz de 0,888.... 0,373737... 0,555555.... 1,16666...

Answer 1

Explicação passo-a-passo:

a)

x = 0,888...

10x = 8,888...

10x = 8 + 0,888..

10x = 8 + x

10x - x = 8

9x = 8

x = 8/9

0,888.. = 8/9

b)

x = 0,373737...

100x = 37,3737...

100x = 37 + 0,3737...

100x = 37 + x

100x - x = 37

99x = 37

x = 37/99

0,373737... = 37/99

c)

x = 1,1666...

10x = 11,666..

10x = 11 + 0,666...

y = 0,666...

10y = 6,666...

10y = 6 + 0,666...

10y = 6 + y

10y - y = 6

9y = 6

y = 6/9

y = 2/3

10x = 11 + 2/3

10x = (33 + 2)3

10x = 35/3

x = (35/3)/10

x = 35/3 • 1/10

x = 35/30

x = 7/6

1,1666... = 7/6

Bons estudos!!!

Answer 2

resolução!

X = 0,8888

X = 8/9

X = 0,3737....

X = 37/99

X = 0,5555...

X = 5/9

X = 1,16666...

X = 116 - 11/90

X = 105/90 ÷ 15

X = 7/6