SOLUTION: a + a/5 + 2/5*a

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Question 7314: a + a/5 + 2/5*a
Answer by ichudov(507) 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: 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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

Universal Simplifier and Solver


Done!