Change the decimal to a fraction: 0.123123123….

Answer 1

Let's call the repeating decimal as x: 0.123123123...

We can multiply both sides of the equation by 1000 to remove the repeating part. So we have:

1000x = 123.123123...

Now, we subtract x from both sides:

1000x - x = 123.123123... - 0.123123...

Simplifying:

999x = 123

Dividing both sides by 999:

x = 123/999

Therefore, the decimal 0.123123123... can be written as the fraction 123/999.