document.write( "Question 1064300: Find a fraction between 1/4 and 1/3 whose numerator and denominator add up to 47. Thanks for any help. \n" ); document.write( "
Algebra.Com's Answer #679342 by Alan3354(69443)\"\" \"About 
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Find a fraction between 1/4 and 1/3 whose numerator and denominator add up to 47.
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\n" ); document.write( "1/4 <= n/d <= 1/3
\n" ); document.write( "3 <= 12n/d <= 4
\n" ); document.write( "n + d = 47
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\n" ); document.write( "3 <= 12n/(47-n) <= 4
\n" ); document.write( "141 - 3n <= 12n <= 188 - 4n
\n" ); document.write( "141 + n <= 12n <= 188
\n" ); document.write( "n <= 12n <= 47
\n" ); document.write( "11n <= 47 - n
\n" ); document.write( "--> n = 11
\n" ); document.write( "d = 36
\n" ); document.write( "--> 11/36 & 10/37 are the 2 integer solutions.\r
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