If $0.\overline{42}$ is written as a fraction $\frac{a}{b}$ where a and b are positive integers with a greatest common divisor of 1, what is a+b?
Please help asap, tysmmm!
Let x = 0.4242424242....
Then 100x = 42.42424242....
Subtract x from 100x to get 99x = 42
Can you take it from here?
Use the binomial theorem