Change the decimal to a fraction: 0.123123123….
A. 12 13/10
B. 1 23/100
C. 123/999
D. 123/1000
E. This decimal is irrational and cannot be written as a fraction
To convert the repeating decimal 0.123123123... to a fraction, let's call it x:
- Multiply x by 1000 to shift the decimal three places to the right:
1000x = 123.123123123...
- Subtract x from 1000x to eliminate the repeating part:
1000x - x = 123.123123123... - 0.123123123...
999x = 123
Hence, the fraction equivalent of the decimal 0.123123123... is 123/999.
Therefore, the correct answer is C. 123/999.