Change the decimal to a fraction: 0.123123123….(1 point)Responses1231001231001 and 23 over 100123999123999123 over 999This decimal is Irrational and cannot be written as a fractionThis decimal is Irrational and cannot be written as a fraction12310001231000123 over 100012131012131012 and 13 tenths

Question

Change the decimal to a fraction:  0.123123123….(1 point)Responses1231001231001 and 23 over 100123999123999123 over 999This decimal is Irrational and cannot be written as a fractionThis decimal is Irrational and cannot be written as a fraction12310001231000123 over 100012131012131012 and 13 tenths

Bot GPT 3.5 · Answer

The correct response is 123 over 999. This can be obtained by setting x = 0.123123123... and then multiplying both sides of the equation by 1000 (to move the decimal point three places to the right): 1000x = 123.123123123... Now, subtracting the original equation from the new one, we obtain: 1000x - x = 123.123123123... - 0.123123123... Simplifying, we have: 999x = 123 x = 123/999, which can be further simplified to 41/333.