+0

+1
42
2
+7

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?

off-topic
Nov 23, 2022

#1
+33273
+1

Let x = 0.4242424242....

Then 100x = 42.42424242....

Subtract x from 100x to get  99x = 42

Can you take it from here?

Nov 23, 2022
#2
-57
0

Use the binomial theorem

Nov 24, 2022