1. x = 0.(7)
10x = 7.(7)
10x - x = 7.(7) - 0.(7)
9x = 7
x = 7/9
2. x = 3.(12)
100x = 312.(12)
100x - x = 312.(12) - 3.(12)
99x = 309
x = 309/99 = 103/33 = 3 4/33
1. x = 0.(7)
10x = 7.(7)
10x - x = 7.(7) - 0.(7)
9x = 7
x = 7/9
2. x = 3.(12)
100x = 312.(12)
100x - x = 312.(12) - 3.(12)
99x = 309
x = 309/99 = 103/33 = 3 4/33