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-   -   Adding fractions with unlike denominators? (https://www.askmehelpdesk.com/showthread.php?t=510450)

  • Sep 24, 2010, 07:38 AM
    alternap18
    adding fractions with unlike denominators?
    how do you do it?

    do you go left of the bottom straight and then cross multiply?

    what are the steps like here's an example 3/4 + 7/8
    do you do 4x8 then 4x7 then 3x8 then 3x7?
  • Sep 24, 2010, 07:49 AM
    ebaines

    When adding fractions with different denominators the first step is to convert one or both of the fractions so that they have the same denominator. An easy way to do that is to multiply the numerator and denominator of each fraction by the amount of the other fraction's denominator. For example: consider 3/4 + 7/9. You can multiply 3/4 x 9/9 to get 27/36. And you can multiply 7/9 by 4/4 to get 28/36. Note in both cases you are multiplying by the equivalent of 1, so this doesn't change the value of the fraction. Now you can easily add the two fractions:

    3/4 + 7/9 = 3/4 x 9/9 + 7/9 x 4/4 = 27/36 + 28/36 = 55/36.

    For the example you cited you can follow this same technique:

    3/4 + 7/8 = 3/4 x 8/8 + 7/8 x 4/4 = 24/32 + 28/32 = 52/32, which simplifies to 13/8.

    However, in this case it can be solved a bit simpler if you notice that one denominator is a multiple of the other. Here the 8 is two times 4, so you really only need to multiply the fraction 3/4 by 2/2, like this:

    3/4 + 7/8 = 3/4 x 2/2 + 7/8 = 6/8 + 7/8 = 13/8.

    Hope this helps!
  • Sep 24, 2010, 07:50 AM
    Just Looking

    Deleted
  • Sep 24, 2010, 07:52 AM
    Just Looking

    Answer deleted - Ebaines beat me to it.
  • Sep 24, 2010, 07:58 AM
    alternap18
    um you know I already know if they're the same on the bottom you can add them on the top
    like this
    1/8+1/8=2/8
    that's easy
    but how many steps are they're?
  • Sep 24, 2010, 08:02 AM
    ebaines
    Quote:

    Originally Posted by alternap18 View Post
    um you know i already know if theyre the same on the bottom you can add them on the top
    like this
    1/8+1/8=2/8
    thats easy

    Right - that's why the objective in adding fractions is to get the denominators (the "bottoms" as you say) to be the same.

    Quote:

    Originally Posted by alternap18 View Post
    but how many steps are theyre?

    Sorry? I don't understand the question - could you please restate this?
  • Sep 24, 2010, 08:05 AM
    alternap18
    for adding fractions
    how many steps are they're

    3 6
    - + -
    5 4 ------ 5x4

    do you multiply across 1st?
  • Sep 24, 2010, 08:10 AM
    ebaines

    Given: 3/5 + 6/4

    Step 1. Multiply the first fraction by 4/4: 3/5 x 4/4 = 12/20

    Step 2. Multiply the 2nd fraction by 5/5: 6/4 x 5/5 = 30/20

    Step 3: Add: 12/20 + 30/20 = 42/20

    Step 4: Simplify: 42/20 = 21/10.

    So that seems to be 4 steps.

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