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what is -0.124 which is also a repeating decimal converted into a fraction ??

 Jan 30, 2016

Best Answer 

 #2
avatar+33616 
+21

If you mean the 124 repeats forever i.e. 0.124124124124......, then treat it as follows:

 

        x = 0.124124124124.....     Multiply by 1000

1000x = 124.124124124......  

 

Subtract the first from the second:

999x = 124

 

Divide both sides by 999:

 

x = 124/999   so -0.124124124.....  =  -124/999

 

 Jan 30, 2016
edited by Alan  Jan 30, 2016
 #1
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0

-0.124= - 124/1000

 Jan 30, 2016
edited by Guest  Jan 30, 2016
 #2
avatar+33616 
+21
Best Answer

If you mean the 124 repeats forever i.e. 0.124124124124......, then treat it as follows:

 

        x = 0.124124124124.....     Multiply by 1000

1000x = 124.124124124......  

 

Subtract the first from the second:

999x = 124

 

Divide both sides by 999:

 

x = 124/999   so -0.124124124.....  =  -124/999

 

Alan Jan 30, 2016
edited by Alan  Jan 30, 2016
 #5
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+5

what is -0.124 which is also a repeating decimal converted into a fraction ??

 

If ONLY 4 repeats .-124444444444........then the fraction is: -28/225

If ONLY 24 repeats.-.12424242424........then the fraction is:-41/330

If the whole number repeats, -.124124124124.....then the fraction is:-124/999.

 Jan 30, 2016
 #6
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+5

Thanx Alan.....I like that method,,,   Kuhl..

 Jan 31, 2016

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