Question

Determine o valor numérico da expressão:
0, 555... + 1/9 − 1, 1666...
-----------
0, 333...

Answer 1

Resposta:

7/36

Explicação passo-a-passo:

0,555...=x

5,555...=10x

9x=5

x=5/9

0,333...=x

3,333...=10x

9x=3

x=3/9

11,666...=10x

116,666...=100x

90x=105

x=105/90

x=21/18

x=7/6

5/9 : 3/9 + 1/9 - 7/6 =

5/9 • 9/3 +1/9 - 7/6 =

45/27 + 1/9 - 7/6=

15/9 + 1/9 - 7/6=

45/36 + 4/36 - 42/36=

49/36 - 42/36=

7/36