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What is $0.8\overline{4}-0.\overline{4}$? Express your answer as a common fraction.

 May 25, 2015

Best Answer 

 #2
avatar+128731 
+6

0.844444..... = [84 -8]  /90   = 76/90

0.4444.....  =  4/9 

 

So .....   76/90  - 4/9   =   [9(76) - 4(90)]/ [9 * 90] =   [684 - 360] / 810  = 324/810  = 162/405 = [2*81] /[5 * 81]  =  2/5

 

 

 

 May 25, 2015
 #1
avatar+4709 
-1

I'll have a go.

 

0.84-0.4=0.44

As a fraction.

 

44/100 = 22/50 = 11/25 

 

11/25

 May 25, 2015
 #2
avatar+128731 
+6
Best Answer

0.844444..... = [84 -8]  /90   = 76/90

0.4444.....  =  4/9 

 

So .....   76/90  - 4/9   =   [9(76) - 4(90)]/ [9 * 90] =   [684 - 360] / 810  = 324/810  = 162/405 = [2*81] /[5 * 81]  =  2/5

 

 

 

CPhill May 25, 2015

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