document.write( "Question 891932: when a fraction is reduced to its lowest term, it is equal to 3/4. The numerator of the fraction when doubled would be 34 greater than the denominator. Find the fraction. \n" ); document.write( "
Algebra.Com's Answer #540163 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The first part gives the fraction. The second part gives a description between numerator and denominator.\r
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\n" ); document.write( "\n" ); document.write( "n for numerator;
\n" ); document.write( "d for denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"n%2Fd=3%2F4\". This shows ratio between n and d, regardless of reduced or in other terms.\r
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\n" ); document.write( "\n" ); document.write( "\"2n=34%2Bd\", notice from the wording, \"would be 34 greater\", meaning ADDITION.
\n" ); document.write( "That could be a reason why you found the question difficult.\r
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\n" ); document.write( "\n" ); document.write( "\"d=2n-34\";
\n" ); document.write( "substitute into the reduced-form equation.
\n" ); document.write( "\"highlight_green%28n%2Fd=highlight_green%28n%2F%282n-34%29=3%2F4%29%29\".
\n" ); document.write( "Solve the inner-green outlined part for n.
\n" ); document.write( "-
\n" ); document.write( "\"4n=3%282n-34%29\"
\n" ); document.write( "\"4n=6n-3%2A34\"
\n" ); document.write( "\"4n-6n=-3%2A34\"
\n" ); document.write( "\"-2n=-3%2A34\"
\n" ); document.write( "\"2n=3%2A34\"
\n" ); document.write( "\"n=3%2A17\"
\n" ); document.write( "\"highlight%28n=51%29\"
\n" ); document.write( "-
\n" ); document.write( "\"d=2%2A51-34\"
\n" ); document.write( "\"d=102-34\"
\n" ); document.write( "\"highlight%28d=68%29\"\r
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( "\"n%2Fd=highlight%2851%2F68%29=%283%2A17%29%2F%284%2A17%29=3%2F4\"
\n" ); document.write( "YES.\r
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\n" ); document.write( "\n" ); document.write( "(Notice in the \"CHECK\", the \"n%2Fd\" is outlined in red.)\r
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\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "I made the same mistake that you probably made, when going through the problem the first time.
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