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Converting repeating decimals to fractions

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From: Jeanne (for Teacher2Teacher Service)
Date: Oct 19, 2001 at 19:13:03
Subject: Re: Converting repeating decimals to fractions

Hi Robert, Here is one of the conversion methods I teach to my high school students. Let N = 0.66666... If N = 0.66666..., then 10N = 6.66666... We can subtract 10N - N as follows: 10N = 6.66666... - N = 0.66666... -------------------- 9N = 6 Therefore, N = 6/9 which reduced to lowest terms equals 2/3. Thus, 0.66666..... = 2/3 . Hope this helps. -Jeanne, for the T2T service

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