document.write( "Question 113721: If s/t = u/v, then s+t/t=? \n" ); document.write( "
Algebra.Com's Answer #82818 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "If \"s%2Ft\" = \"u%2Fv\", then \"%28s%2Bt%29%2Ft\" = ?\r\n" );
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document.write( "First we do it the long way, and then we look\r\n" );
document.write( "at a shortcut.\r\n" );
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document.write( "\"%28s%2Bt%29%2Ft\" =\r\n" );
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document.write( "\"s%2Ft%2Bt%2Ft\" =\r\n" );
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document.write( "\"s%2Ft%2B1\"\r\n" );
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document.write( "Substitute \"u%2Fv\" for \"s%2Ft\" since\r\n" );
document.write( "they are given to be equal.\r\n" );
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document.write( "\"u%2Fv%2B1\"\r\n" );
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document.write( "Write the 1 as \"v%2Fv\"\r\n" );
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document.write( "\"u%2Fv%2Bv%2Fv\"\r\n" );
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document.write( "Write that as \r\n" );
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document.write( "\"%28u%2Bv%29%2Fv\"\r\n" );
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document.write( "This is the correct answer. HOWEVER,\r\n" );
document.write( "you are probably supposed to do it\r\n" );
document.write( "by a short cut rule of proportions:\r\n" );
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document.write( "The rule is:\r\n" );
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document.write( "If you have a proportion, then you may add\r\n" );
document.write( "the denominators to the numerators on both\r\n" );
document.write( "sides and the result is still a proportion\r\n" );
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document.write( "So you can do this problem using this short cut:\r\n" );
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document.write( "Start with this:\r\n" );
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document.write( "\"s%2Ft\" = \"u%2Fv\"\r\n" );
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document.write( "Notice that you want to find \"%28s%2Bt%29%2Ft\". So\r\n" );
document.write( "you notice that this is \"s%2Ft\" with the\r\n" );
document.write( "denominator t added to the numerator \"s\".  Therefore\r\n" );
document.write( "you can just do that same thing on the right and\r\n" );
document.write( "add the denominator \"v\" to the numerator u and get\r\n" );
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document.write( "\"%28s%2Bt%29%2Ft\" = \"%28u%2Bv%29%2Fv\"\r\n" );
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document.write( "Edwin
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