document.write( "Question 275089: A new fraction is obtained by adding x to the numerator and denominator of the fraction
\n" ); document.write( "17
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\n" ); document.write( "24
\n" ); document.write( "This new fraction is equivalent to
\n" ); document.write( "2
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\n" ); document.write( "3
\n" ); document.write( "Calculate the value of x.\r
\n" ); document.write( "\n" ); document.write( "What is The working and answer?
\n" ); document.write( "Thanks
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Algebra.Com's Answer #200738 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A new fraction is obtained by adding x to the numerator and denominator of the fraction
\n" ); document.write( "17
\n" ); document.write( "--
\n" ); document.write( "24
\n" ); document.write( "This new fraction is equivalent to
\n" ); document.write( "2
\n" ); document.write( "--
\n" ); document.write( "3
\n" ); document.write( "Calculate the value of x.
\n" ); document.write( ":
\n" ); document.write( "We can write this as
\n" ); document.write( "\"%28%28x%2B17%29%29%2F%28%28x%2B24%29%29\" = \"2%2F3\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "3(x+17) = 2(x+24)
\n" ); document.write( ":
\n" ); document.write( "3x + 51 = 2x + 48
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\n" ); document.write( "3x - 2x = 48 - 51
\n" ); document.write( ":
\n" ); document.write( "x = -3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "see if that works, subtract 3 from numerator and denominator
\n" ); document.write( "\"14%2F21\" reduces to \"2%2F3\"
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