Question

Determine a fração geratriz das seguintes dízimas periódicas: a)5,474747...
b)3,8888...
c)0,177777...


ME AJUDEMM POR FAVORRR

Answer 1

a)

x = 5.474747

x = 5.474747 ×(100)

100x = 547.4747

100x-x = 547.4747-5.474747

99x = 542

x= 542/99

b)

x = 3.8888

x = 3.8888 ×(10)

10x = 38.888

10x-x = 38.888- 3.8888

9x= 35

x = 35/9

c)

x = 0.177777

x = 0.177777 ×(10)

10x = 1.77777

10x-x= 1.77777-0.177777

9x=1.6

x=1.6/9