How do you convert 0.15 (15 being repeated) to a fraction?

##5/33##

We first let 0.15 (15 being repeated) be ##x##.

Since ##x## is recurring in 2 decimal places, we multiply it by 100.

##100x = 15.15##

Next, we subtract them.

##100x – x = 15.15 – 0.15##

##99x = 15##

Lastly, we divide both sides by 99 to get ##x## as a fraction.

##x = 15/99##

##= 5/33##