SOLUTION: {{{1/4*(13 y-3) + 1/8*(6y+9)}}}

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Question 212090:




Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: 1/4*(13y-3)+1/8*(6y+9) simplifies to 4*y+3/8
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 1/4*(13y-3)+1/8*(6y+9) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


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 .
Expanded term 1%2F4 by using associative property on %2813%2Ay-3%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Moved -3%2F4 to the right of expression
It becomes .

Look at .
Expanded term 1%2F8 by using associative property on %286%2Ay%2B9%29
It becomes .

Look at .
Factors 6 and 8 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Eliminated similar terms highlight_red%28+13%2F4%2Ay+%29,highlight_red%28+3%2F4%2Ay+%29 replacing them with highlight_green%28+%2813%2A1%2F4%2B3%2A1%2F4%29%2Ay+%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+16+%29,highlight_red%28+1%2F4+%29
It becomes .

Look at .
Factors 16 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes .

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

Universal Simplifier and Solver


Done!

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