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Math Help - dividing by decimals

  1. #1
    chubbs
    Guest

    Smile dividing by decimals

    Can you please show me how to work out 2.4 divided by 3.2
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  2. #2
    Senior Member
    Joined
    Jul 2006
    From
    Shabu City
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    381
    2.4 \div 3.2

    Move the decimal 1 times: from 3.2 to 32. and from 2.4 to 24.
    ..........__0.75_______
    = 32. | 24.00
    ..........-224
    ..........____
    ..............160
    .............-160
    ..............___
    ................0
    Since 240 - 224 = 16
    Carry down 0 to get 160... divide it by 32 then you get 5 then multiply by 32 you get 160 so 160 - 160 = 0
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  3. #3
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by chubbs View Post
    Can you please show me how to work out 2.4 divided by 3.2
    Sure, no problem.

    One way is by cancellation or factoring.
    2.4 / 3.2
    = (0.8)*3 / (0.8)*4
    The 0.8's cancel each other, so,
    = 3/4
    = 0.75 -------------answer.

    Another way is by long division, or "by hand",
    I cannot show that here because I don't know how to "draw" in computers. But you can do it by hand there with you.
    You move the decimal places to one place to the right, so your new division now is 24 divided by 32. You should get 0.75 as the answer.

    -----------------
    Or, if you don't know how to factor, you keep on dividing both numerator and denominator by 2 until you cannot anymore. Like so,
    2.4 / 3.2
    = 1.2 / 1.6
    = 0.6 / 0.8
    = 0.3 / 0.4
    = 3/4
    = 0.75
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