+0  
 
+1
42
2
avatar+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?

 

Please help asap, tysmmm!

off-topic
 Nov 23, 2022
 #1
avatar+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
avatar-57 
0

Use the binomial theorem

 Nov 24, 2022

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