document.write( "Question 316986: When adding and subtracting rational numbers (fractions), why does one need a common denominator? For what reason is it recommended that one use the lowest common denominator (lcd)?
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Algebra.Com's Answer #226952 by checkley77(12844) $\"\"$ $\"About$

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1/3+1/6+2/12
\n" ); document.write( "The LCD is 12.
\n" ); document.write( "(4+2+2*1)/12=(6+2)/12=8/12=2/3 ans.
\n" ); document.write( "Now use 36 which is also a common denominator.
\n" ); document.write( "(12+6+2*3)/36=(18+6)/36=24/36=12/18=6/9=2/3 this larger common denominator requires you to work with larger numbers and requires more fraction reductions.
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