Question 1144456
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-5/2 - (-2/9) = {{{-5/2}}} - {{{(-2/9)}}} = {{{-5/2 + 2/9}}} = 


                    write with the common denominator, which is 18


              = {{{(-5*9)/(2*9)}}} + {{{(2*2)/(2*9)}}} = {{{-45/18}}} + {{{4/18)}}} = {{{(-45+4)/18}}} = {{{-41/18}}}.    <U>ANSWER</U>
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The rules are:


(1)  ADDING       {{{a/b}}} + {{{c/d}}} = 

                       you can work with the common denominator.
                       you also can take the product of the denominators - it works, too

                  = {{{(a*d)/(b*d)}}} + {{{(c*b)/(b*d)}}} = {{{(ad + bc)/bd}}}.


(2)  SUBTRACTING  {{{a/b}}} - {{{c/d}}} = 

                       you can work with the common denominator.
                       you also can take the product of the denominators - it works, too

                  = {{{(a*d)/(b*d)}}} - {{{(c*b)/(b*d)}}} = {{{(ad - bc)/bd}}}.
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You may solve &nbsp;ALL &nbsp;your problems  &nbsp;ON &nbsp;YOUR &nbsp;OWN, &nbsp;by knowing and using these simple rules.


OK, &nbsp;if not all, &nbsp;then at least half of your problems.


If you want to learn this simple algebra &nbsp;(sorry, &nbsp;arithmetic), &nbsp;then you must do these simple steps on your own.


In this site, &nbsp;we do not teach from scratch - we are not a school.

We assume that the students come here just having basic knowledge and elementary skills.

In particular, &nbsp;we assume that you just are able to add and subtract fractions.



/\/\/\/\/\/\/\/


<pre>
    This quasi- and pseudo-tutor @josgaritmetic placed totally incorrect solution in his post.

    The tutor @MathTherapy noticed it, and then I placed a correct solution.

    After that @josgarithmetic quickly re-wrote from my post, without acknowledgement (of course). 

    It is not something EXTRAORDINARY - he does it EVERY day.

    As a tutor, he equals to zero and have no any relevant qualification.

    If you are new at this forum, you should know it.

    <U>Be aware</U> :  every second - third - fourth his "solution" is INCORRECT.
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