Question

Determine a Fração Geratriz

A) 0, 888 B) 1, 333 ​

Answer 1

$a = 0.888 \\ 10a = 8.888 \\ \\ 10a - a = 8.888 - 0.888 \\ \\ 9a = 8 \\ \\ \frac{9a}{9} = \frac{8}{9} \\ \\ a = \frac{8}{9}$

$b = 1.333 \\ 10b = 13.333 \\ \\ 10b - b = 13.333 - 1.333 \\ \\ 9b = 12 \\ \\ \frac{9b}{9} = \frac{12}{9} \\ \\ b = \frac{12}{9} \\ \\ b = \frac{12 \div 3}{9 \div 3} \\ \\ b = \frac{4}{3}$

Answer 2

Olá...

a) 0,888... = 8/9

b) 1,339... = 1 + 3/9 = 12/9 ÷ 3 = 4/3

Bons estudos.