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Math Help - simple fraction issue

  1. #1
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    simple fraction issue

    HI all;
    1/3 * 1/5 = 1 2/3.

    My question is what does the answer really mean ie does it mean 1 fifth and 2 thirds of a fifth?

    thanks.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by anthonye View Post
    HI all;
    1/3 * 1/5 = 1 2/3.

    My question is what does the answer really mean ie does it mean 1 fifth and 2 thirds of a fifth?

    thanks.
    For starters I don't like the "mixed" notation. However the answer is simply wrong.
    \frac{1}{3} \cdot \frac{1}{5} = \frac{1}{15}

    There is no mixed number expression for this.

    For the record, 1 \frac{2}{3} is 1 + 2/3. This is in reference to some "unit" of length 1.

    -Dan
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  3. #3
    Super Member Quacky's Avatar
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    I think the original question was 1/3 divided by 1/5, which gives the answer in the OP.
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  4. #4
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    Oops I wrote the second fracton the wrong way it should be 5/1.
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by anthonye View Post
    Oops I wrote the second fracton the wrong way it should be 5/1.
    Okay, that makes a lot more sense. Do you understand the comment I made about 1 \frac{2}{3}?

    -Dan
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    could do with more info topsquark.
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  7. #7
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by anthonye View Post
    could do with more info topsquark.
    Quote Originally Posted by anthonye View Post
    HI all;
    1/3 * 1/5 = 1 2/3.

    My question is what does the answer really mean ie does it mean 1 fifth and 2 thirds of a fifth?

    thanks.
    The "1" in the mixed number means "1 unit" ie the number 1, not 1 unit of 1/5. 1 unit of 1/5 would be 1/5 and we would write it as so. Similarly the (2/3) represents (2/3) of a unit, not (2/3) of 1/5.

    Does that make it clearer?

    -Dan
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  8. #8
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    Yeah think I see could do with a diagram if you can.
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  9. #9
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by anthonye View Post
    Yeah think I see could do with a diagram if you can.
    Ummm...What kind of diagram do you think would help? A diagram of what?

    -Dan

    Edit: If you are asking for a pie chart of some kind showing fractions then 1 and 2/3 would be a whole circle and 2/3 of another. (Image uploads are down at the moment anyway.)
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  10. #10
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    Ok thats what I needed to know no need for a diagram
    Thanks for all the help.
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  11. #11
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    maybe still something missing the original question asks how many 1/5 in a 1/3 resulting in 1 2/3 my brains telling me this is
    1 whole fifth and 2/3 of a fifth I dont understand why.
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  12. #12
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by anthonye View Post
    maybe still something missing the original question asks how many 1/5 in a 1/3 resulting in 1 2/3 my brains telling me this is
    1 whole fifth and 2/3 of a fifth I dont understand why.
    Ahhhhh! I see where this is coming from now. Okay. Yes, there are (1 and 2/3) fifths in one third. You were correct to begin with. Sorry about the whole bit of confusion. (shrugs)

    -Dan
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  13. #13
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    Ok thanks you had me wondering for a minute there.
    Thanks again for the help topsquark.

    You get what I mean this is deffinitly right yes.
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