Question

expresse os números de forma de fração geratriz: A_ 0,222 B_ 0,129129129 C_ 0,747474 D_ 3,444​

Answer 1

A) x = 0,222...

10x = 10 • 0,222...

10x = 2,222...

10x-x = 2,222... - 0,222...

9x = 2

x = 2/9

B) x = 0,129129...

10x = 10 • 0,129129...

10x = 1,29129...

10x-x = 1,29129...-0,129129...

9x = 1

x = 1/9

C) x = 0,7474...

10x = 10 • 0,7474...

10x = 7,474...

10x-x = 7,474...-0,7474...

9x = 7

x = 7/9

D) x = 3,444...

10x = 10 • 3,444...

10x = 34,44...

10x-x = 34,44...-3,444...

9x = 31

x= 31/9