document.write( "Question 460005: Simplify
\n" ); document.write( "3/8 / 6*1/2+1/2 \n" ); document.write( "
Algebra.Com's Answer #315575 by simranb(63)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:

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  • Graphical form: \"3%2F8%2F6%2A1%2F2%2B1%2F2\" simplifies to \"17%2F32\"
  • Text form: 3/8/6*1/2+1/2 simplifies to 17/32
  • Cartoon (animation) form: \"simplify_cartoon%28+3%2F8%2F6%2A1%2F2%2B1%2F2+%29\"
    For tutors: simplify_cartoon( 3/8/6*1/2+1/2 )
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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+3+%29%2F8%2Fhighlight_red%28+6+%29%2A1%2F2%2B1%2F2\".
Factors 3 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes \"highlight_green%28+1+%29%2F8%2Fhighlight_green%28+2+%29%2A1%2F2%2B1%2F2\".
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Look at \"highlight_red%28+1+%29%2F8%2F2%2Ahighlight_red%28+1+%29%2F2%2B1%2F2\".
Multiplied numerator integers
It becomes \"highlight_green%28+1+%29%2F8%2F2%2F2%2B1%2F2\".
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Look at \"1%2Fhighlight_red%28+8+%29%2Fhighlight_red%28+2+%29%2Fhighlight_red%28+2+%29%2B1%2F2\".
Multiplied denominator integers
It becomes \"1%2Fhighlight_green%28+32+%29%2B1%2F2\".
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Look at \"highlight_red%28+1%2F32+%29%2Bhighlight_red%28+1%2F2+%29\".
Added fractions or integers together
It becomes \"highlight_green%28+17%2F32+%29\".
Result: \"17%2F32\"
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Universal Simplifier and Solver

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Done!
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