document.write( "Question 756671: the numerator of a fraction is 3 less than its denominator.if we add 1 to both numerator and denominator it becomes equal to 2/3.find the fraction?
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Algebra.Com's Answer #460431 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The numerator of a fraction is 3 less than its denominator.
\n" ); document.write( "n = d - 3
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\n" ); document.write( "if we add 1 to both numerator and denominator it becomes equal to 2/3.
\n" ); document.write( " $\"%28%28n%2B1%29%29%2F%28%28d%2B1%29%29\"$ = $\"2%2F3\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "3(n+1) = 2(d+1)
\n" ); document.write( "3n + 3 = 2d + 2
\n" ); document.write( "3n = 2d + 2 - 3
\n" ); document.write( "3n = 2d - 1
\n" ); document.write( "replace n with (d-3), from the 1st equation
\n" ); document.write( "3(d-3) = 2d - 1
\n" ); document.write( "3d - 9 = 2d - 1
\n" ); document.write( "3d - 2d = -1 + 9
\n" ); document.write( "d = 8
\n" ); document.write( "then
\n" ); document.write( "n = 8 - 3
\n" ); document.write( "n = 5
\n" ); document.write( "therefore
\n" ); document.write( " $\"5%2F8\"$ is the fraction?
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\n" ); document.write( "You can check this for yourself, add 1 to the numerator and denominator
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