document.write( "Question 763463: in a certain fraction, the denominator is 2 less than the numerator. if 1 is added to both the numerator and the denominator the resulting fraction will equal to 5 over 4. find the original fraction \n" ); document.write( "

Algebra.Com's Answer #464823 by unlockmath(1688) $\"\"$ $\"About$

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Hello,
\n" ); document.write( "Let's use x as the number and set it up like this:
\n" ); document.write( "(x+1)/[(x-2)+1]=5/4
\n" ); document.write( "Simplify this:
\n" ); document.write( "(x+1)/(x-1)=5/4
\n" ); document.write( "Multiply by 4(x-1)to get:
\n" ); document.write( "4(x+1)=5(x-1)
\n" ); document.write( "Expand to:
\n" ); document.write( "4x+4=5x-5
\n" ); document.write( "Subtract 4x and add 5:
\n" ); document.write( "x=9
\n" ); document.write( "So now we know the fraction is:
\n" ); document.write( "9/7
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

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