Question

encontre a fração geratriz correspondente aos seguintes números racionais

a) 0,3636...
b) 2,1313...
c)1,5666...​

POR FAVOR MIM AJUDEMM

Answer 1

Explicação passo-a-passo:

a) 0,363636... = 36/99

x = 0,363636...

100x = 36,3636...

100x = 36 + 0,3636...

100x = 36 + x

100x - x = 36

99x = 36

x = 36/99

b) 2,131313... = 211/99

x = 2,131313...

100x = 213,1313...

100x = 213 + 0,1313...

y = 0,131313...

100y = 13,1313...

100y = 13 + 0,1313...

100y = 13 + y

100y - y = 13

99y = 13

y = 13/99

100x = 213 + 13/99

100x = 21100/99

x = 21100/99 • 1/100

x = 21100/9900

x = 211/99

c) 1,5666... = 47/30

x = 1,5666...

10x = 15,666...

10x = 15 + 0,666..

y = 0,666...

10y = 6,666...

10y = 6 + 0,666...

10y = 6 + y

10y - y = 6

9y = 6

y = 6/9

y = 2/3

10x = 15 + 2/3

10x = 47/3

x = 47/3 • 1/10

x = 47/30

Answer 2

resolução!

A )

X = 0,3636..

X = 36/99 ÷ 9

X = 4/11

B )

X = 2,1313...

X = 213 - 2/99

X = 211/99

C )

X = 1,5666...

X = 156 - 15/90

X = 141/90 ÷ 3

X = 47/30