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-   -   How to reduce fractions to the lowest terms? (

  • Sep 21, 2010, 10:04 AM
    how to reduce fractions to the lowest terms??
    like for example this one

    _ = _
    7 21

    I tried my best to put it up
  • Sep 21, 2010, 10:10 AM

    3/7 is at it's lowest terms.

    try this to see if it will help you.

    8/32 = 4/16 = 2/8 =1/4.

    It looks like you were trying to find the lowest common denominator. Is that what you want? You need to fractions to do that.
  • Sep 21, 2010, 10:26 AM

    Simplifying (or reducing) fractions means finding out what can be evenly divided into both top and bottom.

    In your example, you are actually doing the reverse... so.. if you multiply 7 x 3 you get 21. You have to multiply the top by 3 also. Your answer would be 9 over 21.
  • Sep 22, 2010, 04:59 AM

    Finding the prime factorization may help reduce a fraction when it is tough to reduce compared to, say, 8/12.

    Suppose we were asked to reduce

    The cancellations reduce it down to
  • Sep 22, 2010, 05:19 AM


    I have never seen that process, not that that surprises me all that much.

    Can you take a moment and "PM" with an explanation of how it works.
  • Sep 22, 2010, 05:46 AM

    It's in fact the same process as you did earlier donf.

    Take your fraction:

    You divided both numerator and denominator by two successively to get 1/4.

    It's like you did it this way:

    Now, if you get multiples of prime numbers of other factors instead of strictly prime numbers as factors, they still work.

  • Sep 22, 2010, 06:22 AM

    Hey, thanks,

    Now I recognize the process and yes I've used it in the past.

    Thanks for helping me out.
  • Sep 22, 2011, 07:34 AM
    Reduce 7/21 to lowest terms
  • Sep 22, 2011, 08:16 AM
    Divide the numerator and the denominator by 7.

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