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avatar+306 

Convert each of the following fractions to a "decimal" in the specified base.

a) Convert the fraction 1/2 to base 3

b) Convert the fraction 1/7 to base 8

c) Convert the fraction 1/(b-1) to base b

 

I would really apprectiate some help with converting these fractions! Thanks in advance!!

 Jun 27, 2020
 #1
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-1

Just use long division!

 Jun 27, 2020
 #2
avatar+36915 
+1

a  .5     =    3-1  + 3-2+3-3+3-4+3-5+3-6     =.111111 (in base 3 )

 

b 0.111111111        (see a patern here....for the next question)

c my guess is it is  .1111111

 Jun 27, 2020
 #3
avatar+306 
+2

Thanks for the help!!

mathmathj28  Jul 5, 2020

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