document.write( "Question 675336: The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fraction \n" ); document.write( "
Algebra.Com's Answer #419784 by MathLover1(20850)\"\" \"About 
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The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5.\r
\n" ); document.write( "\n" ); document.write( "let \"x\" be denominator\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "the denominator of a certain fraction is three times the numerator:
\n" ); document.write( "the denominator is \"3x\"\r
\n" ); document.write( "\n" ); document.write( "so, fraction is:\"x%2F3x\"\r
\n" ); document.write( "\n" ); document.write( "If \"2\" is added to the numerator and subtracted from the denominator, the result equals \"3%2F5\".\r
\n" ); document.write( "\n" ); document.write( "so, we have:\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%2F%283x-2%29=3%2F5\"....solve for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%2F%283x-2%29=3%2F5\"....cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%2A5=3%283x-2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B10=9x-6\"\r
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\n" ); document.write( "\n" ); document.write( "\"10%2B6=9x-5x\"\r
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\n" ); document.write( "\n" ); document.write( "\"16=4x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=16%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=4\"\r
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\n" ); document.write( "\n" ); document.write( "the original fraction is:\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3x\".........plug in \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%2F%283%2A4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"cross%284%291%2F%283%2Across%284%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%281%2F3%29\"\r
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