Question

Se x = 0,555... e y = 0,1555..., calcule o valor de x÷ y

Answer 1

Se x = 0,5555... e y = 0,15555... 
x= 0,555... = 5/9 
 y = 0,1555... = (15-1)/90 = 14/90 =7/45
 x/y = (5/9)/(7/45) = 5/9 * 45/7= 25/7

Se x = 1,333...  e  y = 0,555...
x = 1,333... = 1 + 3/9 = 12/9 = 4/3
y = 0,555... = 5/9

x/y = (4/3)/(5/9) = 4/3 * 9/5 = 36/15 = 12/5