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Math Help - simplify fraction

  1. #1
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    simplify fraction

    ok sorry every 1,
    but im really stressin out math is so hard 4 me

    simplifying fractions

    4x^2y there is a line under this prob
    14xy^2


    n wut about simplest form for 18 over 36?

    so sorry i hope u can help me
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by diamond1 View Post
    ok sorry every 1,
    but im really stressin out math is so hard 4 me

    simplifying fractions

    4x^2y there is a line under this prob
    14xy^2


    n wut about simplest form for 18 over 36?

    so sorry i hope u can help me
    you realize that x^2 is x*x right?

    do you know the laws of exponents?

    for example, that x^m/x^n = x^(m-n) ?

    anyway, we do this by a method we call "cancelling", actually i dont know if that's the official name for it, but hey.

    so when we are given a rational function (a function that is a fraction, as in one function over another), we look what we can cancel in the functions by finding common factors.

    so given (4x^2y)/(14xy^2)
    we see that we have x's in the top as well as the bottom, we have y's in the top as well as the bottom, and we have multiples of 2 in the top as well as the bottom.

    we cancel by dividing the common factors (in this case: 2, x, and y) into what we can to simplify.

    we say 2 into 4 goes 2 times, so we cross out the 4 and write 2, at the same time, we say 2 into 14 goes 7 times, so we cross out the 14 and write 7. similarly we say x into x^2 goes x times and x into x goes 1 time. so we cross out the exponent 2 on the x in the top and cross out the x in the bottom completely, and so on. below is what it looks like when we do it. a similar process is used to simplify 18/36
    Attached Thumbnails Attached Thumbnails simplify fraction-cancel.jpg  
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  3. #3
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    thanx

    thanx alot
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by diamond1 View Post
    thanx alot
    ur welcome
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