Question

Ułamek okresowy zamień na zwykły:
a) 0,(351)
b) 0,5(027)
c) 0,61
d) 0,1(12)

Answer 1

Odpowiedź:

a)

x = 0,351351351...

1000x = 351,351351351...

999x = 351

[tex]x = \frac{351}{999} =\frac{13}{37}[/tex]

b)

x = 0,5027027027...

10x = 5,027027027...

10 000x = 5027,027027027...

9 990x = 5022

[tex]x = \frac{5022}{9990} = \frac{93}{185}[/tex]

c)

[tex]0,61 = \frac{61}{100}[/tex]

d)

x = 0,1121212...

10x = 1,121212...

1000x = 112,121212...

990x = 111

[tex]x = \frac{111}{990} = \frac{37}{330}[/tex]