document.write( "Question 302036: Sorry if this isn't the right topic.... this is from an accuplacer practice test. I know the answer is 11z-20 over z(z-5) but don't understand how to work it. Here's the problem: 4/z plus 7/z-5 \n" ); document.write( "
Algebra.Com's Answer #216573 by london maths tutor(243)\"\" \"About 
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4/z plus 7/z-5\r
\n" ); document.write( "\n" ); document.write( "you need to obtain common denominator before adding the numerator.\r
\n" ); document.write( "\n" ); document.write( "the denominator = z(z-5)
\n" ); document.write( "but remember to multiply the same factor to the numerator too i.e\r
\n" ); document.write( "\n" ); document.write( "4/z = [4*(z-5)]/[z*(z-5)]
\n" ); document.write( "7/z-5 = [7*z /(z*(z-5))]\r
\n" ); document.write( "\n" ); document.write( "So the sum becomes:\r
\n" ); document.write( "\n" ); document.write( "[4*(z-5) + 7*z] / [z(z-5)]\r
\n" ); document.write( "\n" ); document.write( "[4z - 20 + 7z] / [z(z-5)]\r
\n" ); document.write( "\n" ); document.write( "(11z-20)/z(z-5) (hence shown)
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