document.write( "Question 750312: It I tripled one quarter of a fraction and multiplied it by that fraction, i would get one twelfth. What is the original fraction. \n" ); document.write( "

Algebra.Com's Answer #456509 by Edwin McCravy(20056) $\"\"$ $\"About$

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If I tripled one quarter of a fraction and multiplied it by that fraction, i would get one twelfth.
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document.write( "Replace the words \"a fraction\" and \"that fraction\" with F\r\n" );
document.write( "

\n" ); document.write( " If I tripled one quarter of F and multiplied it by F, i would get one twelfth.
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document.write( "Replace the words \"one quarter of F\" with F\r\n" );
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\n" ); document.write( " If I tripled $\"1%2F4\"$ F and multiplied it by F, i would get one twelfth.
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document.write( "Replace the words \"If I tripled\" with \"3×\"\r\n" );
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\n" ); document.write( " 3× $\"1%2F4\"$ F and multiplied it by F, i would get one twelfth.
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document.write( "Replace the words \"and multiplied it by\" by \"×\"\r\n" );
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\n" ); document.write( " 3× $\"1%2F4\"$ F×F, i would get one twelfth.
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document.write( "Replace the words \", i would get\" with an equal sign \"=\":\r\n" );
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\n" ); document.write( " 3× $\"1%2F4\"$ F×F = one twelfth.
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document.write( "Replace the words \"one twelfth\" with \r\n" );
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\n" ); document.write( " 3× $\"1%2F4\"$ F×F = $\"1%2F12\"$
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document.write( "We simplify that by changing 3× to  \r\n" );
document.write( "and F×F to F²\r\n" );
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document.write( " F² = \r\n" );
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document.write( "We clear the fractions by multiplying both sides by 12.\r\n" );
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document.write( " 9F² = 1\r\n" );
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document.write( "We divide both sides by 9\r\n" );
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document.write( "  F² = \r\n" );
document.write( "   F = \r\n" );
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\n" ); document.write( "What is the original fraction.
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document.write( "Either  or \r\n" );
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document.write( "Edwin

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