+0  
 
0
55
1
avatar

Subtract \(0.\overline{02}\) from \(0.\overline{0.002}\) and express the result as a fraction.

 Mar 9, 2022

Best Answer 

 #1
avatar+36417 
+2

I would first convert to fractions then do the subtraction  ( it will be a negative answer)

 

x = .02020202.....

100x = 2.02020202

99x = 2

x = 2/99

 

 

y = .002002002....

1000y = 2.002002...

999y = 2

y = 2/999

 

2/999 - 2/99 =  (22- 222) / 10989   = -200 / 10989

 Mar 9, 2022
 #1
avatar+36417 
+2
Best Answer

I would first convert to fractions then do the subtraction  ( it will be a negative answer)

 

x = .02020202.....

100x = 2.02020202

99x = 2

x = 2/99

 

 

y = .002002002....

1000y = 2.002002...

999y = 2

y = 2/999

 

2/999 - 2/99 =  (22- 222) / 10989   = -200 / 10989

ElectricPavlov Mar 9, 2022

24 Online Users

avatar