Question

0.123123123 as a fraction

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert the decimal 0.123123123 to a fraction, we can write it as a fraction by multiplying it by a power of 10 to remove the decimal point.

Let x = 0.123123123
To remove the decimal point, we move it to the right by three places:
10^3 = 1000
1000x = 123.123123123

Now, let's subtract the original equation from the new equation to eliminate the repeating decimal:
1000x - x = 123.123123123 - 0.123123123
999x = 123

Dividing both sides by 999:
x = 123/999

Therefore, the decimal 0.123123123 can be written as a fraction 123/999, which can be simplified further if needed.