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avatar+764 

Express 2.\overline{57} as a base 10 fraction in reduced form.

 Jun 15, 2024

Best Answer 

 #2
avatar+129732 
+1

Let 2.57....  = x

Let  257.57... = 100x

 

100x   =   257.57....

-    x       -   2.57.....   

__________________________

99x  =     255

 

x = 255 / 99 =  85 / 33

 

cool cool cool

 Jun 15, 2024
 #1
avatar+1714 
0

The answer is 16/93.

 Jun 15, 2024
 #2
avatar+129732 
+1
Best Answer

Let 2.57....  = x

Let  257.57... = 100x

 

100x   =   257.57....

-    x       -   2.57.....   

__________________________

99x  =     255

 

x = 255 / 99 =  85 / 33

 

cool cool cool

CPhill Jun 15, 2024

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