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Express $0.6\overline{333}$ as a common fraction.

 Jan 28, 2015

Best Answer 

 #1
avatar+118608 
+5

this is the same as

$$0.6\bar{3}$$     let this number be X

there is only one number repeating somultiply X by 10

10X=6.33333333.....

    X=0.63333333.....

subtract

 9X=5.7     all the other 3s cancel out

X=5.7/9 = 57/90 = 19/30

 Jan 28, 2015
 #1
avatar+118608 
+5
Best Answer

this is the same as

$$0.6\bar{3}$$     let this number be X

there is only one number repeating somultiply X by 10

10X=6.33333333.....

    X=0.63333333.....

subtract

 9X=5.7     all the other 3s cancel out

X=5.7/9 = 57/90 = 19/30

Melody Jan 28, 2015

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