Results 1 to 3 of 3

Math Help - Writing Fractions as Products

  1. #1
    Member
    Joined
    May 2008
    Posts
    143

    Writing Fractions as Products

    In my book it merely lists the instructions "The steps you will follow are the same as multiplying fractions-only in reverse". I know that when you multiply fractions its "straight across", but this does not help me much I do not comprehend it and I cannot visualize it.

    For instance \frac{x+1}{2} = \frac{1}{2}(x+1)

    Another example is

    \frac{7x}{8}= \frac{7}{8}x

    Could some one please clarify in detail how I go about doing this exactly?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Bar0n janvdl's Avatar
    Joined
    Apr 2007
    From
    South Africa
    Posts
    1,630
    Thanks
    6
    Quote Originally Posted by allyourbass2212 View Post
    In my book it merely lists the instructions "The steps you will follow are the same as multiplying fractions-only in reverse". I know that when you multiply fractions its "straight across", but this does not help me much I do not comprehend it and I cannot visualize it.

    For instance \frac{x+1}{2} = \frac{1}{2}(x+1)

    Another example is

    \frac{7x}{8}= \frac{7}{8}x

    Could some one please clarify in detail how I go about doing this exactly?

    \frac{x+1}{2} = (x+1) \div 2  = (x+1) \div \frac{2}{1} = (x+1) \times \frac{1}{2}

    Does this clarify it a bit for you?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    o_O
    o_O is offline
    Primero Espada
    o_O's Avatar
    Joined
    Mar 2008
    From
    Canada
    Posts
    1,407
    There is no difference in saying: \frac{ab}{c} and \frac{a}{c} b or \frac{b}{c}a or \frac{1}{c} \times a \times b

    It's not a rule or anything. It's just that it doesn't matter whether you divide/multiply first.

    For example, if you multiply: \frac{4}{2} \times 5

    This is no different if you wrote it like this: \frac{4 \times 5}{2} or \frac{5}{2} \times 4 or  \frac{1}{2} \times 5 \times 4

    You can divide 4 by 2 first and multiply by 5. Or you can multiply 4 and 5 first then divide by 2. Or you can divide 5 by 2 and then multiply by 4. Or you can multiply 1/2 and 5 and 4. They're all equivalent.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] writing Fractions in Order
    Posted in the Algebra Forum
    Replies: 4
    Last Post: November 21st 2010, 10:55 PM
  2. Replies: 6
    Last Post: April 24th 2010, 11:34 PM
  3. ...norm takes products to products.
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: April 23rd 2010, 08:55 PM
  4. Replies: 2
    Last Post: January 20th 2010, 02:43 PM
  5. Replies: 2
    Last Post: November 9th 2007, 06:54 AM

Search Tags


/mathhelpforum @mathhelpforum