Question

escreva na forma de fração
a)0,23444...
b)0,35666...
c)0,5717171
d)0,111...
e)0,1343434...
f)0,9222...

Answer 1

a)0,23444...= 211/900

1)10 x 0,23444 = 2,3444..
2) 100x 0,2344.. = 23,444...
3) 1000 x 0,23444...= 234,444


3 - 2 = 234,444... - 23,444... = 211
1000- 100 = 900

b)0,35666... = 321/900

1)10 x 0,3566..=  3,5666..
2) 100 x 0,3566... = 35,666...
3) 1000 x 0,3566... = 356,666...

3 - 2 = 356,666 - 35,666 = 321
1000 - 100 = 900


c)0,5717171.. = 566/990

1)10 x 0,571717...= 5,71717
2) 100 x 0,571717... = 57,1717
3) 1000 x 0,571717.. = 571,71717

3 - 1 = 571,71717 - 5,7171...= 566
1000 - 10 = 990

d)0,111... = 1/9

1) 10 x 0,111...=1,111
1,111... - 0,111...= 1
10-1 = 9

e)0,1343434...= 134/999

1) 10x 0,134134..= 1,34134134..
2) 100 x 0,134134...= 13,4134134...
3) 1000x0,134134...= 134,134134

134,134134 - 0,134134 = 134
1000 - 1 = 999


f)0,9222...= 83/90

1) 10 x 0,9222..=9,222...
2) 100 x 0,9222... = 92,222

2 -1 = 92,222...- 9,2222...=83
100 - 10 = 90


Espero ter ajudado, bons estudos. Abraços