Question

Se x = 0,22222... e y = 0,555555..., calcule o valor da soma dos algarismos do numerador das frações geratrizes.

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Answer 1

x = 0,222...

10x = 2,222...

10x - x = 2,222... - 0,222...

9x = 2

x = 2/9

y = 0,555...

10y = 5,555...

10y - y = 5,555... - 0,555...

9y = 5

y = 5/9

Soma = 2 + 5

Soma = 7

Resposta: 7

Answer 2

Oie, Td Bom?!

• Calculando x:

$x≈0,22222...$

$x = 0 \frac{22222}{99999}$

$x = \frac{0 \: . \: 99999 + 22222}{99999}$

$x = \frac{0 + 22222}{99999}$

$x = \frac{22222}{99999}$

$x = \frac{22222 \div 11111}{99999 \div 11111}$

$x = \frac{2}{9}$

• Calculando y:

$y≈0,555555...$

$y = 0\frac{555555}{999999}$

$y = \frac{0 \: . \: 999999 + 555555}{999999}$

$y = \frac{0 + 555555}{999999}$

$y = \frac{555555}{999999}$

$y = \frac{555555 \div 111111}{999999 \div 111111}$

$y = \frac{5}{9}$

• Soma dos algarismos do numerador:

$2 + 5 = 7$

Att. Makaveli1996