document.write( "Question 1103256: if 2 is added to the numerator and 3 to the denominator of a fraction. Its value will be 3/4. If 3 is subtracted from the numerator and 1 from the denominator it's value will be 1/4 what is the fraction \n" ); document.write( "

Algebra.Com's Answer #717954 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Write an equation for each statement, simplify as much as possible
\n" ); document.write( ":
\n" ); document.write( "if 2 is added to the numerator and 3 to the denominator of a fraction.
\n" ); document.write( " Its value will be 3/4.
\n" ); document.write( " $\"%28n%2B2%29%2F%28d%2B3%29\"$ = $\"3%2F4\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "4(n+2) = 3(d+3)
\n" ); document.write( "4n + 8 = 3d + 9
\n" ); document.write( "4n = 3d + 9 - 8
\n" ); document.write( "4n = 3d + 1
\n" ); document.write( " If 3 is subtracted from the numerator and 1 from the denominator
\n" ); document.write( " it's value will be. 1/4
\n" ); document.write( " $\"%28n-3%29%2F%28d-1%29\"$ = $\"1%2F4\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "1(d-1) = 4(n-3)
\n" ); document.write( "d - 1 = 4n - 12
\n" ); document.write( "d = 4n - 12 + 1
\n" ); document.write( "d = 4n - 11
\n" ); document.write( "in the first simplified equation, replace d with (4n-11)
\n" ); document.write( "4n = 3(4n-11) + 1
\n" ); document.write( "4n = 12n - 33 + 1
\n" ); document.write( "4n = 12n - 32
\n" ); document.write( "32 = 12n - 4n
\n" ); document.write( "32 = 8n
\n" ); document.write( "n = 4
\n" ); document.write( "find d
\n" ); document.write( "d = 4(4) - 11
\n" ); document.write( "d = 5
\n" ); document.write( ":
\n" ); document.write( " what is the fraction? $\"4%2F5\"$
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