document.write( "Question 972603: The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third. Find the original fraction. \n" ); document.write( "
Algebra.Com's Answer #594898 by Alan3354(69443)\"\" \"About 
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\n" ); document.write( "The ratio of the numerator to the denominator of a certain fraction is three to five. If two is added to the numerator and five is subtracted from the denominator, the new fraction reduces to four-fifths. Find the original fraction.
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\n" ); document.write( " Original is 3x/5x
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\n" ); document.write( " (3x+2)/(5x-5) = 4/5
\n" ); document.write( " 5(3x+2) = 4(5x-5)
\n" ); document.write( " 15x+10 = 20x-20
\n" ); document.write( " 30 = 5x
\n" ); document.write( " x = 6
\n" ); document.write( " --> 18/30
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