document.write( "Question 7314: a + a/5 + 2/5*a \n" ); document.write( "
Algebra.Com's Answer #4072 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"a%2Ba%2F5%2B2%2F5%2Aa\" simplifies to \"8%2F5%2Aa\"
  • Text form: a+a/5+2/5*a simplifies to 8/5*a
  • Cartoon (animation) form: \"simplify_cartoon%28+a%2Ba%2F5%2B2%2F5%2Aa+%29\"
    For tutors: simplify_cartoon( a+a/5+2/5*a )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+a+%29%2Bhighlight_red%28+a%2F5+%29%2Bhighlight_red%28+2%2F5%2Aa+%29\".
Eliminated similar terms \"highlight_red%28+a+%29\",\"highlight_red%28+a%2F5+%29\",\"highlight_red%28+2%2F5%2Aa+%29\" replacing them with \"highlight_green%28+%281%2B1%2F5%2B2%2A1%2F5%29%2Aa+%29\"
It becomes \"highlight_green%28+%281%2B1%2F5%2B2%2A1%2F5%29%2Aa+%29\".
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Look at \"%281%2B1%2F5%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2F5%29%2Aa\".
Multiplied numerator integers
It becomes \"%281%2B1%2F5%2Bhighlight_green%28+2+%29%2F5%29%2Aa\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+1%2F5+%29%2Bhighlight_red%28+2%2F5+%29%29%2Aa\".
Added fractions or integers together
It becomes \"%28highlight_green%28+8%2F5+%29%29%2Aa\".
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Look at \"highlight_red%28+%28highlight_red%28+8%2F5+%29%29%2Aa+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+8+%29\",\"highlight_red%28+1%2F5+%29\"
It becomes \"highlight_green%28+8+%29%2Fhighlight_green%28+5+%29%2Aa\".
Result: \"8%2F5%2Aa\"
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Universal Simplifier and Solver

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Done!
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