document.write( "Question 910288: Adding unity to the numerator as well as the denominator of a fraction makes it equal to 4/5. Subtracting 5 from each makes it equal to 1/2. What is the fraction? \n" ); document.write( "

Algebra.Com's Answer #552362 by stanbon(75887) $\"\"$ $\"About$

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Adding unity to the numerator as well as the denominator of a fraction makes it equal to 4/5. Subtracting 5 from each makes it equal to 1/2. What is the fraction?
\n" ); document.write( "---------------
\n" ); document.write( "Equations::
\n" ); document.write( "(x+1)/(y+1) = 4/5
\n" ); document.write( "(x-1)/(y-1) = 1/2
\n" ); document.write( "----------
\n" ); document.write( "Cross-multiply to get:
\n" ); document.write( "5x+5 = 4y+4
\n" ); document.write( "2x-2 = y-1
\n" ); document.write( "-------
\n" ); document.write( "Rearrange::
\n" ); document.write( "5x - 4y = -1
\n" ); document.write( "2x - y = 1
\n" ); document.write( "------
\n" ); document.write( "Modify for elimination::
\n" ); document.write( "5x - 4y = -1
\n" ); document.write( "8x - 4y = 4
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract and solve for \"x\"::
\n" ); document.write( "3x = 5
\n" ); document.write( "x = 5/3
\n" ); document.write( "----
\n" ); document.write( "Solve for \"y\"
\n" ); document.write( "2x-y = 1
\n" ); document.write( "10/3 - y = 1
\n" ); document.write( "y = 7/3
\n" ); document.write( "------
\n" ); document.write( "Ans: # = (5/3)/(7/3) = 5/7
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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