SOLUTION: a)1/2 + 4m = 3m - 5/2 Clear the Fractions first b)5/3 + 2/3x = 25/12 + 5/4x + 3/4

Algebra ->  Divisibility and Prime Numbers  -> Lessons -> SOLUTION: a)1/2 + 4m = 3m - 5/2 Clear the Fractions first b)5/3 + 2/3x = 25/12 + 5/4x + 3/4       Log On


   

Question 5915: a)1/2 + 4m = 3m - 5/2 Clear the Fractions first
b)5/3 + 2/3x = 25/12 + 5/4x + 3/4

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
submit one problem at a time, okay?
1%2F2+%2B+4m+=+3m+-+5%2F2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: m=-3.
  • Graphical form: Equation 1%2F2%2B4m=3m-5%2F2 was fully solved.
  • Text form: 1/2+4m=3m-5/2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+1%2F2%2B4m=3m-5%2F2+%29
    For tutors: simplify_cartoon( 1/2+4m=3m-5/2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+1%2F2+%29%2B4%2Am=3m-5%2F2.
Moved 1%2F2 to the right of expression
It becomes 4%2Am%2Bhighlight_green%28+1%2F2+%29=3m-5%2F2.
Look at 4%2Am%2B1%2F2=highlight_red%28+3%2Am-5%2F2+%29.
Moved these terms to the left highlight_green%28+-3%2Am+%29,highlight_green%28+5%2F2+%29
It becomes 4%2Am%2B1%2F2-highlight_green%28+3%2Am+%29%2Bhighlight_green%28+5%2F2+%29=0.
Look at 4%2Am%2Bhighlight_red%28+1%2F2+%29-3%2Am%2Bhighlight_red%28+5%2F2+%29=0.
Added fractions or integers together
It becomes 4%2Am%2Bhighlight_green%28+6%2F2+%29-3%2Am=0.
Look at 4%2Am%2Bhighlight_red%28+6%2F2+%29-3%2Am=0.
Moved 6%2F2 to the right of expression
It becomes 4%2Am-3%2Am%2Bhighlight_green%28+6%2F2+%29=0.
Look at 4%2Am-3%2Am%2Bhighlight_red%28+6+%29%2Fhighlight_red%28+2+%29=0.
Factors 6 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 4%2Am-3%2Am%2Bhighlight_green%28+3+%29%2Fhighlight_green%28+1+%29=0.
Look at 4%2Am-3%2Am%2B3%2Fhighlight_red%28+1+%29=0.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 4%2Am-3%2Am%2B3=0.
Look at highlight_red%28+4%2Am+%29-highlight_red%28+3%2Am+%29%2B3=0.
Eliminated similar terms highlight_red%28+4%2Am+%29,highlight_red%28+-3%2Am+%29 replacing them with highlight_green%28+%284-3%29%2Am+%29
It becomes highlight_green%28+%284-3%29%2Am+%29%2B3=0.
Look at highlight_red%28+%284-3%29+%29%2Am%2B3=0.
Remove extraneous '1' from product highlight_red%28+%284-3%29+%29
It becomes m%2B3=0.
Look at highlight_red%28+m%2B3+%29=0.
Solved linear equation highlight_red%28+m%2B3=0+%29 equivalent to m+3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: m=-3.

Universal Simplifier and Solver


Done!