Results 1 to 7 of 7

Math Help - Converting recurring decimals to a mixed number using algebra?

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    10

    Converting recurring decimals to a mixed number using algebra?

    Hi guys this was a question which I was stuck on and I was wondering if anyone could give me some guidance.

    1) Convert the recurring decimal 2.136 (the 3 and the 6 are the only digits that recur sorry for not using the correct notation, I don't know how to get it online) to a mixed number.
    Give your answer in its simplest form.


    Thanks for any help and advice.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,657
    Thanks
    1607
    Awards
    1

    Re: Converting recurring decimals to a mixed number using algebra?

    Quote Originally Posted by MattA147 View Post
    Hi guys this was a question which I was stuck on and I was wondering if anyone could give me some guidance.
    1) Convert the recurring decimal 2.136 (the 3 and the 6 are the only digits that recur sorry for not using the correct notation, I don't know how to get it online) to a mixed number.
    Give your answer in its simplest form.

    If S=2.1\overline{36} then 10S=21.\overline{36}~\&~1000S=2136.\overline{36}

    What does 1000S-10S=~?
    Last edited by Plato; June 10th 2013 at 10:10 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    10

    Re: Converting recurring decimals to a mixed number using algebra?

    Thanks for your post but I still don't quite understand...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,657
    Thanks
    1607
    Awards
    1

    Re: Converting recurring decimals to a mixed number using algebra?

    Quote Originally Posted by MattA147 View Post
    Thanks for your post but I still don't quite understand...
    What is there to not understand?

    You now have two numbers with the same decimal part. Subtract them,

    What do you get?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    10

    Re: Converting recurring decimals to a mixed number using algebra?

    2126? Do the decimal parts cancel?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,657
    Thanks
    1607
    Awards
    1

    Re: Converting recurring decimals to a mixed number using algebra?

    Quote Originally Posted by MattA147 View Post
    2126? Do the decimal parts cancel?
    Not quite, it is 1000S-10S=2115. Thus 990S=2115. Solve for S, in fraction form.

    S was the original number.
    Last edited by Plato; June 10th 2013 at 10:11 AM.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    10

    Re: Converting recurring decimals to a mixed number using algebra?

    This makes sense now thanks very much. Have a good evening.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Recurring decimals
    Posted in the Algebra Forum
    Replies: 5
    Last Post: November 20th 2010, 09:25 AM
  2. how to turn mixed numbers into decimals?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 29th 2010, 06:30 AM
  3. Recurring decimals and sources needed
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 5th 2010, 08:32 AM
  4. Replies: 9
    Last Post: September 1st 2009, 01:54 PM
  5. Recurring decimals
    Posted in the Math Topics Forum
    Replies: 6
    Last Post: April 5th 2008, 11:47 AM

Search Tags


/mathhelpforum @mathhelpforum