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Math Help - Adding fractions

  1. #1
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    Smile Adding fractions

    1/3 +(-5/6 ) + (-1/2 ) =
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  2. #2
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    Quote Originally Posted by Patience View Post
    1/3 +(-5/6 ) + (-1/2 ) =
    (1/3) + (-5/6) + (-1/2)

    Find a common denominator for these three fractions; try 6

    Now, take (1/3);

    3 goes into 6 two times, multiplied by the numerator = (2/6)

    Now (-5/6); 6 goes into 6 one time, multiplied by the numerator = -5/6 (obviously)

    And finally, (-1/2); 2 goes into 6 three times, multiplied by -1 = -3/6

    Now, we have (2/6) + (-5/6) + (-3/6)

    = (2/6) - (5/6) - (3/6)

    (2 - 5 - 3)/6 = -6/6 = -1
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  3. #3
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    Quote Originally Posted by Patience View Post
    1/3 +(-5/6 ) + (-1/2 ) =
    lcm of 3,6,2 is 6 (any other common multiple can also be used)

    change to a common denominator

    now 6 / 3 = 2 therefore change 1/3 to (1*2)/(3*2) = 2 / 6
    {multiplying numerator and denominator with 2}

    similarly 6/6 = 1 no need to change (-5/6 )

    6/2 = 3 therefore change (-1/2 ) to (-1*3)/(2*3) = -3 / 6
    {multiplying numerator and denominator with 3}

    therefore

    1/3 +(-5/6 ) + (-1/2 ) = 2 / 6 + (-5/6 ) + (-3 / 6)

    =[ 2 + (-5) + (-3) ] / 6 {common denominator 6}

    = (2 - 8) /6

    = (-6) / 6

    = -1
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  4. #4
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    Quote Originally Posted by Patience View Post
    1/3 +(-5/6 ) + (-1/2 ) =
    Here is one way. It's not one of the usual ways, but, for me, it is easy.

    1/3 +(-5/6) +(-1/2) = N
    Clear the fractions, multiply both sides by 6,
    2 +(-5) +(-3) = 6N
    -6 = 6N
    N = -6/6 = -1 -----------answer.
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