Question

calcule a fração geratriz:
a) 2,333
b)4,555
c)1,111
d)2,5222
e)0,888
f)6,444
g)9,111
h)0,2555
socorro vou pra aula as 6:30

Answer 1

a)2,333... = 2 + 3/9 = 2.9 + 3 /9 = 18 + 3 / 9 = 21/9 simplificando por 3 = 7/3

b)4,5555... = 4 + 5/9 = 4 . 9 + 5 / 9 = 36 + 5 / 9 = 41/9

c)1,1111.... = 1 + 1/9 = 1 . 9 + 1 / 9 = 9 + 1 / 9 = 10 / 9

d)2,5222.... = 2 + 52 - 5 / 90 = 2 + 47 / 90 = 2 . 90 + 47 / 90 = 180 + 47 / 90 = 227/90

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

f)6,444... = 6 + 4/9 = 6 . 9 + 4 / 9 = 54 + 4 / 9 = 58 / 9

g)9,111... = 9 + 1 / 9 = 9 . 9 + 1 / 9 = 81 + 1 / 9 = 82 / 9

h) 0,2555... = 25 - 2 / 90 = 23/90

Answer 2

a) $\frac{7}{3}$

b) $\frac{41}{9}$

c) $\frac{10}{9}$

d) $\frac{227}{90}$

e) $\frac{8}{9}$

f) $\frac{58}{9}$

g)$\frac{82}{9}$

h) $\frac{23}{90}$