Change the decimal to a fraction: 0.123123123....
A. 123/999
B. 12 13/10
C. This decimal is irrational and cannot be written as a fraction
D. 123/1000
E. 1 23/100
To change the decimal 0.123123123... to a fraction, we can let x = 0.123123123..., then multiply both sides of the equation by 1000 to get 1000x = 123.123123123....
Next, we subtract x from 1000x to eliminate the repeating decimal on the right side, which gives us:
1000x - x = 123.123123123... - 0.123123123...
Simplifying both sides:
999x = 123
Finally, dividing both sides by 999, we get:
x = 123/999
Therefore, the decimal 0.123123123... is equal to the fraction 123/999.
The answer is A. 123/999.