document.write( "Question 34046: 3/x+2/y / 2/x - 3/y = ? \n" ); document.write( "
Algebra.Com's Answer #20410 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"3%2Fx%2B%282%2Fy%29%2F%282%2Fx%29-3%2Fy\" simplifies to \"3%2Fx%2Bx%2Fy-3%2Fy\"
  • Text form: 3/x+(2/y)/(2/x)-3/y simplifies to 3/x+x/y-3/y
  • Cartoon (animation) form: \"simplify_cartoon%28+3%2Fx%2B%282%2Fy%29%2F%282%2Fx%29-3%2Fy+%29\"
    For tutors: simplify_cartoon( 3/x+(2/y)/(2/x)-3/y )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"3%2Fx%2Bhighlight_red%28+%28highlight_red%28+2%2Fy+%29%29%2F%282%2Fx%29+%29-3%2Fy\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\",\"highlight_red%28+1%2Fy+%29\"
It becomes \"3%2Fx%2Bhighlight_green%28+2+%29%2Fhighlight_green%28+y+%29%2F%282%2Fx%29-3%2Fy\".
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Look at \"3%2Fx%2Bhighlight_red%28+2%2Fy%2F%28highlight_red%28+2%2Fx+%29%29+%29-3%2Fy\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F2+%29\",\"highlight_red%28+x+%29\"
It becomes \"3%2Fx%2B2%2Fy%2Fhighlight_green%28+2+%29%2Ahighlight_green%28+x+%29-3%2Fy\".
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Look at \"3%2Fx%2Bhighlight_red%28+2+%29%2Fy%2Fhighlight_red%28+2+%29%2Ax-3%2Fy\".
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"3%2Fx%2Bhighlight_green%28+1+%29%2Fy%2Fhighlight_green%28+1+%29%2Ax-3%2Fy\".
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Look at \"3%2Fx%2Bhighlight_red%28+1+%29%2Fy%2Fhighlight_red%28+1+%29%2Ax-3%2Fy\".
Reduce similar several occurrences of \"highlight_red%28+1+%29\" to
It becomes \"3%2Fx%2B1%2Fy%2Ax-3%2Fy\".
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Look at \"3%2Fx%2Bhighlight_red%28+1+%29%2Fy%2Ax-3%2Fy\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"3%2Fx%2Bx%2Fy-3%2Fy\".
Result: \"3%2Fx%2Bx%2Fy-3%2Fy\"
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Universal Simplifier and Solver

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Done!
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