can 0.123123123…. be changed into a fraction?
Yes, the decimal 0.123123123... can be changed into a fraction.
Let x = 0.123123123...
Multiplying both sides by 1000 (to move the decimal point three places to the right), we get:
1000x = 123.123123123...
Subtracting x from both sides, we have:
1000x - x = 123.123123123... - 0.123123123...
999x = 123
Dividing both sides by 999:
x = 123/999
So, the decimal 0.123123123... can be written as a fraction 123/999.