document.write( "Question 34848: Hi. Here is the problem:\r
\n" ); document.write( "\n" ); document.write( "Rosalie makes 3 sugar cookies and puts blue frosting on 2 of those cookies. She puts yellow frosting on the other one. Ellie makes 4 sugar cookies and puts blue frosting on 3 of them. She puts yellow frosting on the other one. If the girls put all of their cookies together, they have 7 cookies, and 5 of those cookies have blue frosting. \r
\n" ); document.write( "\n" ); document.write( "The addition sentence looks like: 2/3 + 3/4 = 5/7. But we learn that 2/3 + 3/4 = 17/12 or 1 5/12. Why do we have these discrepancies? How do we fix these differences? \r
\n" ); document.write( "\n" ); document.write( "Can you explain this to me? Thanks in advance!!! \n" ); document.write( "

Algebra.Com's Answer #21055 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"The addition sentence looks like: 2/3 + 3/4 = 5/7.\"
\n" ); document.write( "This sentence is mathematically wrong.
\n" ); document.write( "Fractions are not added by adding the numerators
\n" ); document.write( "and then adding the denominators as is done in
\n" ); document.write( "this sentence.
\n" ); document.write( "The rules require that we find a least common denominator,
\n" ); document.write( "convert each fraction to that denominator, then add.
\n" ); document.write( "The LCM for your problem is 12
\n" ); document.write( "The fractions become 8/12 + 9/12
\n" ); document.write( "The sum then becomes 17/12 or 1 5/12
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "

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