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Convert thsi repeating decimal into a fraction:

 

0.435454545454...

 Mar 8, 2021
 #1
avatar+37167 
+1

x = .435454......

 

100x = 43.5454......

10000x = 4354.5454.....

 

10000x - 100x = 9900x = 4311

                                 x = 4311/9900 = 479/1100

 Mar 8, 2021
 #2
avatar+592 
-1

since 0.54545454... is just 611

we then know that 0.00545454... is 61100 and 0.43 is just 43100,

0.43545454... = (43)(110010)1100+61100=473+61100=4791100

 Mar 8, 2021

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