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Simplfy 5/6a+2/3b

For clarification, that is 5 over 6a plus 2 over 3b

 Oct 7, 2014
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5 / (6a)  +  2 / (3b)

A common denominator has to have an 'a', a 'b', and a number that contains both  6  and  3; so, let's use  6ab.

The first denominator needs a 'b' and the second denominator needs '2a'; so multiply:

[ 5 / (6a) ] x [ b / b ]  +  [ 2 / (3b) ] x [ 2a / 2a ]

  ( 5b ) / ( 6ab)  +  ( 4a ) / ( 6ab)        Add the numerators; place that answer over the common denominator.

  =  ( 5b + 4a ) / ( 6ab )

 Oct 7, 2014

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