SOLUTION: 1/2n + 2 + 3/4n -2 help me please. There are absolute value signs around both sets of equations.

Algebra ->  Equations -> SOLUTION: 1/2n + 2 + 3/4n -2 help me please. There are absolute value signs around both sets of equations.       Log On


   

Question 22938: 1/2n + 2 + 3/4n -2 help me please. There are absolute value signs around both sets of equations.
Answer by Alwayscheerful(414) 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: %281%2F2%29%2An%2B2%2B%283%2F4%29%2An-2 simplifies to 5%2F4%2An
  • Text form: (1/2)*n+2+(3/4)*n-2 simplifies to 5/4*n
  • Cartoon (animation) form: simplify_cartoon%28+%281%2F2%29%2An%2B2%2B%283%2F4%29%2An-2+%29
    For tutors: simplify_cartoon( (1/2)*n+2+(3/4)*n-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+1%2F2+%29%29%2An+%29%2B2%2B%283%2F4%29%2An-2.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2An%2B2%2B%283%2F4%29%2An-2.
Look at 1%2F2%2An%2B2%2Bhighlight_red%28+%28highlight_red%28+3%2F4+%29%29%2An+%29-2.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F4+%29
It becomes 1%2F2%2An%2B2%2Bhighlight_green%28+3+%29%2Fhighlight_green%28+4+%29%2An-2.
Look at highlight_red%28+1+%29%2F2%2An%2B2%2B3%2F4%2An-2.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes n%2F2%2B2%2B3%2F4%2An-2.
Look at n%2F2%2Bhighlight_red%28+2+%29%2B3%2F4%2An-highlight_red%28+2+%29.
Added fractions or integers together
It becomes n%2F2%2Bhighlight_green%28+0+%29%2B3%2F4%2An.
Look at n%2F2%2Bhighlight_red%28+0+%29%2B3%2F4%2An.
Moved 0 to the right of expression
It becomes n%2F2%2B3%2F4%2An%2Bhighlight_green%28+0+%29.
Look at n%2F2%2B3%2F4%2An%2Bhighlight_red%28+0+%29.
Remove extraneous zero highlight_red%28+0+%29
It becomes n%2F2%2B3%2F4%2An.
Look at highlight_red%28+n%2F2+%29%2Bhighlight_red%28+3%2F4%2An+%29.
Eliminated similar terms highlight_red%28+n%2F2+%29,highlight_red%28+3%2F4%2An+%29 replacing them with highlight_green%28+%281%2F2%2B3%2A1%2F4%29%2An+%29
It becomes highlight_green%28+%281%2F2%2B3%2A1%2F4%29%2An+%29.
Look at %281%2F2%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2F4%29%2An.
Multiplied numerator integers
It becomes %281%2F2%2Bhighlight_green%28+3+%29%2F4%29%2An.
Look at %28highlight_red%28+1%2F2+%29%2Bhighlight_red%28+3%2F4+%29%29%2An.
Added fractions or integers together
It becomes %28highlight_green%28+5%2F4+%29%29%2An.
Look at highlight_red%28+%28highlight_red%28+5%2F4+%29%29%2An+%29.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F4+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+4+%29%2An.
Result: 5%2F4%2An

Universal Simplifier and Solver


Done!

Hope this helps!