Question

dê a fração geratriz de cada dízima periódica. 0,252525;0,7777;0,125125;2,555 .

Answer 1

100 x ------------------    025,25....
 -1  x -------------------      0,25....
99x -----------------------  25,00

$\boxed{x = \frac{25}{99}}$

10 x ------------------------ 07,77...
-1 x -------------------------- 0,77...
9 x --------------------------- 7,00

$\boxed{x=\frac{7}{9}}$


1000 x --------------------   0125,125....
- 1    x -------------------          0,125....
999 x -----------------------   125,000

$\boxed{x=\frac{125}{999}}$

10 x ----------------------- 25,55..
-1 x ------------------         2,55...
9 x -------------------      23,00

$\boxed{x=\frac{23}{9}}$