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Math Help - Need help

  1. #1
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    Need help

    The expression \frac{5x}{6}+\frac{x}{4} is equivalent to..

    How would i solve this problem?
    Last edited by eh501; January 23rd 2008 at 02:01 PM.
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  2. #2
    Senior Member Peritus's Avatar
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    Quote Originally Posted by eh501 View Post
    The expression \frac{5x}{6}+\frac{x}{4} is equivalent to..

    How would i solve this problem?
    This expression can be equivalent to infinite number of expressions, what exactly do you mean?
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  3. #3
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    Quote Originally Posted by Peritus View Post
    This expression can be equivalent to infinite number of expressions, what exactly do you mean?
    Well i know, but im basically just asking what to do, would i cross multiply or multiply denominator with denominator and etc.?
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  4. #4
    Senior Member JaneBennet's Avatar
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    If you mean simplify the expression, then express the fractions so they have a common denominator and then add the numerators.
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  5. #5
    Senior Member Peritus's Avatar
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    if you want to find the common denominator you can just multiply the denominators of the given fractions which would yield 24 thus:

    <br />
\frac{{20x + 6x}}<br />
{{24}} = \frac{{26x}}<br />
{{24}}<br /> <br />

    but in this case a smaller common denominator can be found which is 12:

    <br />
\frac{{10x + 3x}}<br />
{{12}} = \frac{{13x}}<br />
{{12}}<br />

    the same result could be obtained in the first method if we canel the highest common factor of 26 and 24 which is 2.
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  6. #6
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    Ok i get what you mean by finding the common denominator but i dont get why 5x would be turned into 10x+3 and x would be turned into 13x?
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  7. #7
    Senior Member Peritus's Avatar
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    the lowest common denominator is 12 the denominator of 5x is 6 thus it has to be multiplied by 2 so that it will be 12 and so the nominator has to be also multiplied by 2, this is where 10x comes from. The denominator of the second fraction is 4 thus it has to be multiplied by 3 to get 12 and the nominator also has to be multiplied by by 3, this is where 3x comes from.
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  8. #8
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    Ok i get it now, so it comes up to \frac{13x}{12} right? why does have to be so darn complicated to solve a little question like this..
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