What is the repeating decimal 0.242424.... as a fraction in simplest form?

24/99           So 1000x = 234.234234234….

So now just take x away from 1000x  999x = 234.234234234… – 0.234234234… = 234 999x = 234 So x = 234/999 Simplify it down. for example x = 26/11  recurring bit doesn’t come directly after the decimal but its a bit harder.