Final answer:
The fractional equivalent of 0.123123... is 41/333.
Step-by-step explanation:
The fractional equivalent of 0.123123... is 41/333.
To find the fractional equivalent, we can represent the repeating decimal as an equation. Let x be the decimal, then x = 0.123123... and if we multiply x by 1000 in order to shift the decimal point three places to the right, we get 1000x = 123.123123...
Subtracting the two equations (1000x - x = 123.123123... - 0.123123), we get 999x = 123. This equation can be simplified as 41/333 = x, hence the fractional equivalent of 0.123123... is 41/333.
Learn more about repeating decimal