SOLUTION: 3-(4-5)+(-5)x6+14 ___________ _____ 4(-1-2)

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Question 38244: 3-(4-5)+(-5)x6+14
_________________
4(-1-2)
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
%283-%284-5%29%2B%28-5%29x6%2B14%29%2F%284%28-1-2%29%29 I am assuming that you would like this expression simplified
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %283-%284-5%29%2B%28-5%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29 simplifies to 1
  • Text form: (3-(4-5)+(-5)*6+14)/(4*(-1-2)) simplifies to 1
  • Cartoon (animation) form: simplify_cartoon%28+%283-%284-5%29%2B%28-5%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29+%29
    For tutors: simplify_cartoon( (3-(4-5)+(-5)*6+14)/(4*(-1-2)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %283-highlight_red%28+%284-5%29+%29%2B%28-5%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29.
Remove unneeded parentheses around terms highlight_red%28+-4+%29,highlight_red%28+5+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes %283-4%2B5-highlight_green%28+5+%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29.
Look at highlight_red%28+%283-4%2B5-5%2A6%2B14%29%2F%28highlight_red%28+4%2A%28-1-2%29+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F4+%29,highlight_red%28+1%2F%28-1-2%29+%29
It becomes %283-4%2B5-5%2A6%2B14%29%2Fhighlight_green%28+4+%29%2Fhighlight_green%28+%28-1-2%29+%29.
Look at %283-4%2B5-highlight_red%28+5+%29%2Ahighlight_red%28+6+%29%2B14%29%2F4%2F%28-1-2%29.
Multiplied numerator integers
It becomes %283-4%2B5-highlight_green%28+30+%29%2B14%29%2F4%2F%28-1-2%29.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+-12+%29%29%2F4%2F%28-1-2%29.
Look at %28-12%29%2F4%2F%28-highlight_red%28+1+%29-highlight_red%28+2+%29%29.
Added fractions or integers together
It becomes %28-12%29%2F4%2F%28highlight_green%28+-3+%29%29.
Look at %28highlight_red%28+-12+%29%29%2F4%2F%28-3%29.
Removed extra sign in front of -12
It becomes %28-highlight_green%28+12+%29%29%2F4%2F%28-3%29.
Look at %28-12%29%2F4%2F%28highlight_red%28+-3+%29%29.
Removed extra sign in front of -3
It becomes %28-12%29%2F4%2F%28-highlight_green%28+3+%29%29.
Look at highlight_red%28+%28-highlight_red%28+12+%29%29%2F4%2F%28-3%29+%29.
Remove unneeded parentheses around factor highlight_red%28+12+%29
It becomes -highlight_green%28+12+%29%2F4%2F%28-3%29.
Look at -highlight_red%28+12%2F4%2F%28-highlight_red%28+3+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F3+%29
It becomes 12%2F4%2Fhighlight_green%28+3+%29.
Look at highlight_red%28+12+%29%2Fhighlight_red%28+4+%29%2F3.
Factors 12 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes highlight_green%28+3+%29%2Fhighlight_green%28+1+%29%2F3.
Look at highlight_red%28+3+%29%2F1%2Fhighlight_red%28+3+%29.
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes highlight_green%28+1+%29%2F1%2Fhighlight_green%28+1+%29.
Look at 1%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+1+%29.
Multiplied denominator integers
It becomes 1%2Fhighlight_green%28+1+%29.
Look at highlight_red%28+1+%29%2Fhighlight_red%28+1+%29.
Reduce similar several occurrences of highlight_red%28+1+%29 to highlight_green%28+1+%29
It becomes highlight_green%28+1+%29.
Result: 1

Universal Simplifier and Solver


Done!


Hope this helps and feel free to contact me with further questions,
lyra