SOLUTION: 3/x+2/y / 2/x - 3/y = ?

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Question 34046: 3/x+2/y / 2/x - 3/y = ?
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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

Universal Simplifier and Solver


Done!