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Math Help - Basic math problem

  1. #1
    Newbie
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    Jun 2009
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    Basic math problem

    Good morning everyone.

    I must first say that I am glad I found this website! There's a lot of good info here. I have a basic math problem that I can not solve.

    1/16 - 3/4 + 15/8 =

    Please note that the numbers above are fractions. The answer is 19/16. I had to cheat and look at the back of the book to get the answer. I still do not know how they came up with this. I've been trying to do this problem for the past 30 min. I know that the order of operation is PEMDAS:

    Parentheses
    Exponets
    Multiplication (left to right)
    Division (left to right)
    Addition (left to right)
    Subtraction (left to right)

    So from the order of operations, I would need to add 3/4 + 15/8 right? And what ever answer I get from there, add 1/16?
    Any help would be appreciated.
    Last edited by AnthonyC; June 14th 2009 at 07:14 AM.
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  2. #2
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by AnthonyC View Post
    Good morning everyone.

    I must first say that I am glad I found this website! There's a lot of good info here. I have a basic math problem that I can not solve.

    1/16 - 3/4 + 15/8 =

    Please note that the numbers above are fractions. The answer is 19/16. I had to cheat and look at the back of the book to get the answer. I still do not know how they came up with this. I've been trying to do this problem for the past 30 min. I know that the order of operation is PEMDAS:

    Parentheses
    Exponets
    Multiplication (left to right)
    Division (left to right)
    Addition (left to right)
    Subtraction (left to right)

    So from the order of operations, I would need to do 3/4 + 15/8 first right? and what ever answer I get from there, subtract that from 1/16?
    Any help would be appreciated.
    \frac{1}{16}-\frac{3}{4}+\frac{15}{8} (Make the demoninators the same first )

    =\frac{1}{16}-\frac{12}{16}+\frac{30}{16}

     <br />
=\frac{19}{16}<br />
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  3. #3
    Newbie
    Joined
    Jun 2009
    Posts
    14

    Smile Answer

    Hi,
    In school we were taught BODMAS, which i think is similar to PEMDAS
    Brackets
    Other
    Division
    Multiplication
    Addition
    Subtraction.

    Anyway, what you need to do is find a common denominator for all three fraction, which in this case is 16. and make all three fractions the same with the common denominator,
    So
    1/16 will remain 1/16
    3/4 will become 12/16 (multiply top and bottom by 4)
    15/8 will become 30/16 (multiply top and bottom by 2)
    Then apply BODMAS, so addition first and then subtraction.
    so - 12/16 + 30/16 = 18/16 (dont forget the minus sign infront of the 12)
    Then
    1/16 + 18/16 = 19/16

    I hope that makes sense
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  4. #4
    Newbie
    Joined
    Jun 2009
    Posts
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    Thank you. 1-12+30 = -11+30= 19

    I was doing... 1-12+30 = 11+30 = 40
    Last edited by AnthonyC; June 15th 2009 at 04:58 PM.
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