SOLUTION: a-1/3=2/3

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Question 24718: a-1/3=2/3
Answer by Alwayscheerful(414) 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


  • This is an equation! Solutions: a=1.
  • Graphical form: Equation a-%281%2F3%29=2%2F3 was fully solved.
  • Text form: a-(1/3)=2/3 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+a-%281%2F3%29=2%2F3+%29
    For tutors: simplify_cartoon( a-(1/3)=2/3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at a-highlight_red%28+%281%2F3%29+%29=2%2F3.
Remove unneeded parentheses around terms highlight_red%28+-1%2F3+%29
It becomes a-highlight_green%28+1%2F3+%29=2%2F3.
Look at a-1%2F3=highlight_red%28+2%2F3+%29.
Moved these terms to the left highlight_green%28+-2%2F3+%29
It becomes a-1%2F3-highlight_green%28+2%2F3+%29=0.
Look at a-highlight_red%28+1%2F3+%29-highlight_red%28+2%2F3+%29=0.
Added fractions or integers together
It becomes a-highlight_green%28+3%2F3+%29=0.
Look at a-highlight_red%28+3+%29%2Fhighlight_red%28+3+%29=0.
Reduce similar several occurrences of highlight_red%28+3+%29 to highlight_green%28+1+%29
It becomes a-highlight_green%28+1+%29=0.
Look at highlight_red%28+a-1+%29=0.
Solved linear equation highlight_red%28+a-1=0+%29 equivalent to a-1 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=1.

Universal Simplifier and Solver


Done!

Hope this helps!