Question

Jika 0,1111...=1/9 0,0404...=...

Answer 1

0.1111 ...... = a ... kedua ruas kalikan 10

1,111.......= 10 a

1+ 0.1111....... = 10a
1+a=10 a

1=9a

a=1/9

0.040404........= b .. kalikan 100

4,040404..... = 100b
4+ 0.040404....=100a

4+a=100a

4=96b
b=4/96

0.040404 .... = 4/96