Question

(Questão 02) Determine a fração
a) 2.1111
b) 15.252525
c) 4.7777
$15.252525$
​

Answer 1

Resposta:

a)

0,111...

$\frac{1}{9}$

2,111...

$\frac{1}{9} + 2 = \frac{1 + 18}{9} = \frac{19}{9}$

Ou

x = 2,111... ×(10)

10x = 21,111...

------------------- -

10x - x = 21,111... - 2,111...

9x = 19

x = 19/9

b)

0,2525...

$\frac{25}{99}$

15,2525...

$\frac{ 25}{99} + 15 = \frac{25 + 1485}{99} = \frac{1510}{99}$

c)

0,777...

$\frac{7}{9}$

4,777...

$\frac{7}{9} + 4 = \frac{7+ 36}{9} = \frac{43}{9}$

Bons Estudos!