Question

como resolver essas geratrizes de dizimas perioticas: a)8,513513.. b)14,234234.. c)0,4588.. d)0,344.. e)3,566.. 

Answer 1

a) x = 8,513513   * 1000 
1000x = 8513,513513
1000x - x = 8,513513 - 8513,513513
999x = 8505
x = 8505/999

b) x = 14,234234  * 1000
1000x = 14234,234234
1000x - x = 14234,234234 - 14,234234
999x = 14220
x = 14220/999

c) x = 0,4588  * 100
100x = 45,88
100x - x = 45,8888 - 0,4588
99x = 45,43 
x = 45,43/99

d) x = 0,344 * 10
10x = 3,444
10x - x = 3,444 - 0,344
9x = 3,1
x = 3,1/9

e) x = 3,566 * 10
10x = 35,666
10x - x = 35,666 - 3,566
9x = 32,1
x = 32,1/9

~Acho que é isso  xD