



 
Hi Nick, Thanks for the compliment. You need to find a common denominator as you would in adding 2/3 and 5/6. In this numeric case if you multiply the numerator and denominator of 2/3 by 3 you get
Thus
In your algebraic expression
Multiplying the numerator and denominator of the first fraction by m gives a common denominator to the two fractions which then allows you to combine them. I hope this helps,  


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