Question

6. Calcule as geratrizes e some:
0, 4242... + 0, 7272​

Answer 1

Resposta:

Explicação passo a passo:

x=0,424242...

100x=42,424242....

100x-x=42,424242...-0,424242....

99x=42

x=42/99

y=0,727272...

100y=72,727272...

100y-y=72,72727272..-0,727272...

99y=72

y=72/99

0,424242....+0,727272...

42/99+72/99=

114/99

Answer 2

Explicação passo-a-passo:

0,4242...=x(10)

4,2424...=10x(10)

42,42...=100x

100x-x=42,42...-0,4242...

99x=42

x=42/99(÷3)

x=14/33

0,7272...=x(10)

7,2727...=10x(10)

72,72...=100x

100x-x=72,72...-0,7272...

99x=72

x=72/99(÷9)

x=8/11

14/33+8/11

24+14/33

=>38/33