document.write( "Question 687626: Work Rate: After working together on a common job, one worker completes x+2/4 of the work and another completes x+3/6 of the work. How much more did the first worker accomplish than the second?\r
\n" ); document.write( "\n" ); document.write( "My answer and steps:
\n" ); document.write( "x+2/4 - x+3/6 = 6x+12/4 - (-4x-12)/24 = 10x/24 which is lowest term to 5x/12 \n" ); document.write( "

Algebra.Com's Answer #425262 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume that the job was completed
\n" ); document.write( "after they did their work.
\n" ); document.write( "So, each one contributed a fraction and
\n" ); document.write( "the 2 fractions should add up to 1.
\n" ); document.write( " $\"+%28x+%2B+2%29+%2F4+%2B+%28x+%2B+3%29+%2F6+=+1+\"$
\n" ); document.write( "Multiply both sides by $\"+12+\"$
\n" ); document.write( " $\"+3%2A%28+x+%2B+2+%29+%2B+2%2A%28+x+%2B+3+%29+=+12+\"$
\n" ); document.write( " $\"+3x+%2B+6+%2B+2x+%2B+6+=+12+\"$
\n" ); document.write( " $\"+5x+=+0+\"$
\n" ); document.write( " $\"+x+=+0+\"$
\n" ); document.write( " $\"+%28+x%2B2+%29%2F4+=+%28+0%2B2+%29%2F4+\"$
\n" ); document.write( " $\"+%28+0+%2B+2+%29%2F4+=+1%2F2+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+%28+x+%2B+3+%29%2F6+=+%28+0+%2B+3+%29%2F6+\"$
\n" ); document.write( " $\"+%28+0+%2B+3+%29+%2F+6+=+1%2F2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "I get they both did 1/2 of the job.
\n" ); document.write( "Check my work, though \n" ); document.write( "

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