\(Express 0.5\overline{10} as a common fraction.\)
+1084 @OP: I'm not sure why you posted this as off-topic
@guest that answered: I'm not sure if you can see the LaTeX, but \overline{} means "repeating decimal", not fraction. (the command for fraction is \frac{}{} or \dfrac{}{} depending on what size you want it to be)
The answer begins here:
Because my LaTeX is not working, I will do my best to write the fractions and repeating decimals.
We want to convert this to a fraction:
––
0.510, which is 0.51010101010101010101010.....
To begin, let's call this fraction "x". Based on what we know:
1000x = 510.10101010...
10x = 5.101010101010...
Subtract one from the other:
990x = 505
Divide by 990:
x = 505/990 = 101/198
:)
