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Express \(0.\overline{1}+0.\overline{02}+0.\overline{003}\) as a common fraction.

 Mar 6, 2020

Best Answer 

 #1
avatar+18924 
+2

1/9      =  0.111111...

2/99    =  0.020202...

3/999  =  0.003003003...

 

1/9 + 2/99 + 3/999

For a common denominator, use 9 x 11 x 111  =  10989

1221/10989 + 222/10989 + 33/10989  =  1476/10989

 Mar 6, 2020
 #1
avatar+18924 
+2
Best Answer

1/9      =  0.111111...

2/99    =  0.020202...

3/999  =  0.003003003...

 

1/9 + 2/99 + 3/999

For a common denominator, use 9 x 11 x 111  =  10989

1221/10989 + 222/10989 + 33/10989  =  1476/10989

geno3141 Mar 6, 2020
 #2
avatar+22043 
0

.....which is also   164/1221     another 'common' fraction.......common....sheesh ! cheeky

ElectricPavlov  Mar 6, 2020

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