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September 10th, 2014, 05:34 PM  #1 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  Algebraic Fraction Addition
5. The simple form of $\displaystyle \frac{4xy}{5}+\frac{15x}{2y^2} is ....$ A. $\displaystyle \frac{6x}{y^2}$ B. $\displaystyle \frac{60xy}{10y^2}$ C. $\displaystyle \frac{6x^2}{y^2}$ D. $\displaystyle \frac{6x^2}{y}$ I did it like this: $\displaystyle \frac{4xy}{5}+\frac{15x}{2y^2}$ $\displaystyle =\frac{2y^2(4xy)}{10y^2}+\frac{5(15x)}{10y^2}$ $\displaystyle =\frac{8xy^3+75x}{10y^2}$ Got stuck there. Can it be simplified further? 
September 10th, 2014, 06:15 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,889 Thanks: 769 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
September 10th, 2014, 09:13 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,319 Thanks: 936  
September 11th, 2014, 03:53 AM  #4  
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  Quote:
Maybe the one who wrote by handwriting intended to write $\displaystyle \times$ but the symbol was a bit slant so the typewriter mistook it as a +.  

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addition, algebraic, fraction 
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