Question

6) Determine a fração geratiz das dizem as periódicas abaixo:
a)0,222...
b)0,5
c)0,2121...
d)0,777...



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Answer 1

A)0,222...=x.10 2,222...=10x
2,222...=10x - 0,222...=x
2. =9x
x=2/9

B)0,555...=x.10 5,555...=10x
5,555...=10x - 0,555...=x
5. =9x
x=5/9

C)0,2121...=x.10 21,2121...=100x
2,1212...=10x.100 - 0,2121...=x
21,2121...=100x 21. =99x
x=21/99

D)0,777...=x.10 7,777...=10x
7,777...=10x - 0,777...=x
7. =9x
x=7/9