Change the decimal to a fraction: 0.123123123….(1 point) Responses 123100 1 and 23 over 100 121310 12 and 13 tenths This decimal is Irrational and cannot be written as a fraction This decimal is Irrational and cannot be written as a fraction 1231000 123 over 1000 123999
To change the decimal 0.123123123... to a fraction, we can use the concept of repeating decimals.
Let x = 0.123123123...
Multiplying both sides of the equation by 1000, we get:
1000x = 123.123123123...
Subtracting the original equation from this, we get:
1000x - x = 123.123123123... - 0.123123123...
999x = 123
Dividing both sides by 999, we get:
x = 123/999
So, the fraction form of the decimal 0.123123123... is 123/999.