SOLUTION: Simplify. ((3/x)-(4/y))/((4/x)-(3/y))

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Question 639273: Simplify.
((3/x)-(4/y))/((4/x)-(3/y))
Found 2 solutions by radh, MathTherapy:
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SIMPLIFY any expression (no substitution)
Your Result:


YOUR ANSWER


  • Graphical form: %28%283%2Fx%29-%284%2Fy%29%29%2F%28%284%2Fx%29-%283%2Fy%29%29 simplifies to %283%2Fx-4%2Fy%29%2F%284%2Fx-3%2Fy%29
  • Text form: ((3/x)-(4/y))/((4/x)-(3/y)) simplifies to (3/x-4/y)/(4/x-3/y)
  • Cartoon (animation) form: simplify_cartoon%28+%28%283%2Fx%29-%284%2Fy%29%29%2F%28%284%2Fx%29-%283%2Fy%29%29+%29
    For tutors: simplify_cartoon( ((3/x)-(4/y))/((4/x)-(3/y)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28highlight_red%28+%283%2Fx%29+%29-%284%2Fy%29%29%2F%28%284%2Fx%29-%283%2Fy%29%29.
Remove unneeded parentheses around terms highlight_red%28+3%2Fx+%29
It becomes %28highlight_green%28+3%2Fx+%29-%284%2Fy%29%29%2F%28%284%2Fx%29-%283%2Fy%29%29.
Look at %283%2Fx-highlight_red%28+%284%2Fy%29+%29%29%2F%28%284%2Fx%29-%283%2Fy%29%29.
Remove unneeded parentheses around terms highlight_red%28+-4%2Fy+%29
It becomes %283%2Fx-highlight_green%28+4%2Fy+%29%29%2F%28%284%2Fx%29-%283%2Fy%29%29.
Look at %283%2Fx-4%2Fy%29%2F%28highlight_red%28+%284%2Fx%29+%29-%283%2Fy%29%29.
Remove unneeded parentheses around terms highlight_red%28+4%2Fx+%29
It becomes %283%2Fx-4%2Fy%29%2F%28highlight_green%28+4%2Fx+%29-%283%2Fy%29%29.
Look at %283%2Fx-4%2Fy%29%2F%284%2Fx-highlight_red%28+%283%2Fy%29+%29%29.
Remove unneeded parentheses around terms highlight_red%28+-3%2Fy+%29
It becomes %283%2Fx-4%2Fy%29%2F%284%2Fx-highlight_green%28+3%2Fy+%29%29.
Result: %283%2Fx-4%2Fy%29%2F%284%2Fx-3%2Fy%29

Universal Simplifier and Solver


Done!

Hope this helps!


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify.
((3/x)-(4/y))/((4/x)-(3/y))

%283%2Fx+-+4%2Fy%29 ÷ %284%2Fx+-+3%2Fy%29

%28%283y+-+4x%29%2Fxy%29 ÷ %28%284y+-+3x%29%2Fxy%29

%283y+-+4x%29%2Fxy * xy%2F%284y+-+3x%29

%283y+-+4x%29%2Fcross%28xy%29 * cross%28xy%29%2F%284y+-+3x%29

highlight_green%28%283y+-+4x%29%2F%284y+-+3x%29%29

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