Question

Transforme os decimais infinitos periodicos em fraçao

0,41111...
8,1333...
5,1777...
2,31444

Answer 1

a)0,411 = 0,3+1/9 = 3 * 10-¹ + 1/9 = 27 * 10-¹/9+1/9 = (2,7+1)/9 = 3,7/9

b)81*10-¹ + 0,3/9= (72,9+0,3)/9 = 73,2/9

c)51*10-¹ + 0,7/9 = (45,9+0,7)/9 = 46,6/9

d)231*10-²+ 0,04/9 = (20,79+0,04)/9 = 20,83/9