SOLUTION: working with Real numbers. I need help with this problem: 3s + (-1/2)[6 + 24(-1/3 + 1/4s) please show your work and write it out how you did it in sentences so i can understand

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Question 6635: working with Real numbers.
I need help with this problem:
3s + (-1/2)[6 + 24(-1/3 + 1/4s)
please show your work and write it out how you did it in sentences so i can understand.
thanks alot

Answer by ichudov(507)   (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: simplifies to
  • Text form: 3s+(-1/2)*(6+24*(-1/3+1/4*s)) simplifies to 1
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 3s+(-1/2)*(6+24*(-1/3+1/4*s)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .

Look at .
Moved -1%2F3 to the right of expression
It becomes .

Look at .
Moved 6 to the right of expression
It becomes .

Look at .
Expanded term 24 by using associative property on %28s%2F4-1%2F3%29
It becomes .

Look at .
Expanded term -1%2F2 by using associative property on %2824%2As%2F4-24%2A1%2F3%2B6%29
It becomes .

Look at .
Factors 24 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

Look at .
Factors 12 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied denominator integers
It becomes .

Look at .
Factors 24 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

Look at .
Factors 12 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied denominator integers
It becomes .

Look at .
Factors 6 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+3%2As+%29,highlight_red%28+-3%2As+%29 replacing them with highlight_green%28+%283-3%29%2As+%29
It becomes .

Look at .
Since highlight_red%28+%283-3%29%2As+%29 has zero as a factor, it should be replaced with a zero

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

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