Question

Transforme os decimais infinitos periódicos em fração:
(A )0,41111...
(B) 8,1333...
(C)5,1777...
(D)2,31444...

Answer 1

(A )
0,41111... × 9 = 3,7 ⇒ (37/10) /9 = 37/90

(B)
8,13333... × 3 = 24,4 ⇒ (244/10)/3 = 244/30 = 122/15

(C)
5,1777... × 3 = 15,5333.. × 3 = 46,6 ⇒ 466/90 ⇒ 233/45

(D)
2,314444.. × 3 = 0,694333.. × 1000 = 694,333... × 3 = 2083 ⇒ 2083/9000