document.write( "Question 991330: The numerator of the fraction is 8 less than the denominator. If 1 is added to the numerator and subtracted from the denominator, the resulting fraction is 2/3. Find the fraction \n" ); document.write( "

Algebra.Com's Answer #611228 by Fombitz(32388) $\"\"$ $\"About$

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The original fraction is,
\n" ); document.write( " $\"%28x-8%29%2Fx\"$
\n" ); document.write( "Then it becomes,
\n" ); document.write( " $\"%28x-8%2B1%29%2F%28x-1%29=2%2F3\"$
\n" ); document.write( " $\"2%28x-1%29=3%28x-8%2B1%29\"$
\n" ); document.write( " $\"2x-2=3x-24%2B3\"$
\n" ); document.write( " $\"2x-2=3x-21\"$
\n" ); document.write( " $\"-x=-19\"$
\n" ); document.write( " $\"x=19\"$
\n" ); document.write( "So the original fraction was,
\n" ); document.write( " $\"11%2F19\"$
\n" ); document.write( " \n" ); document.write( "

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