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a.
Kita umpakan x = 1.222....
maka 10x = 12.222...
Kita lakukan pengurangan
10x - x = 12.222... - 1.222...
9x = 11
x = 11/9
b.
Lakukan kayak diatas ^_^
x = 2.123123...
1000x = 2123.123123...
1000x - x = 2123.123123... - 2.123123...
999x = 2121
x = 2121/999 = 707/333
Sekarang soal "bonus"nya ^_^
2x-3 = 2.4343...
2x = 2.4343... + 3
2x = 5.4343...
Umpamakan y = 2x
y = 5.4343...
100y = 543.4343...
100y-y = 543.4343... - 5.4343...
99y = 538
y = 538/99
Kembali menjadi 2x
2x = 538/99
x = 269/99
Sekian ^_^