document.write( "Question 29480: Simplify the complex fraction:
\n" ); document.write( "4 + 2/x / x/4 + 1/8
\n" ); document.write( "The first thing I have to do is multiply the first equation by the reciprocal of the second equation. After that I do not know what to do. \n" ); document.write( "

Algebra.Com's Answer #16284 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%284+%2B+2%2Fx%29+%2F+%28x%2F4+%2B+1%2F8%29\"$
\n" ); document.write( "hope I got it right
\n" ); document.write( "right away, I see 4's and 8's, so maybe I can make it simpler
\n" ); document.write( "multiply top and bottom of fraction by 8
\n" ); document.write( " $\"%288%2F8%29%2A%28%284+%2B+2%2Fx%29+%2F+%28x%2F4+%2B+1%2F8%29%29\"$
\n" ); document.write( " $\"8%2A%284+%2B+2%2Fx%29+%2F+%282%2Ax+%2B+1%29\"$
\n" ); document.write( "multiply top and bottom by x
\n" ); document.write( " $\"%28x%2Fx%29%2A%288%2A%284+%2B+2%2Fx%29+%2F+%282%2Ax+%2B+1%29%29\"$
\n" ); document.write( " $\"%2832%2Ax+%2B+16%29+%2F+%282%2Ax%5E2+%2B+x%29\"$
\n" ); document.write( " $\"%2816%2A%282%2Ax+%2B+1%29%29+%2F+%28x%2A+%282%2Ax+%2B+1%29%29\"$
\n" ); document.write( " $\"16+%2F+x\"$ answer
\n" ); document.write( "check
\n" ); document.write( " $\"%284+%2B+2%2Fx%29+%2F+%28x%2F4+%2B+1%2F8%29+=+16%2Fx\"$
\n" ); document.write( "multiply both sides by x
\n" ); document.write( " $\"%284%2Ax+%2B+2%29+%2F+%28x%2F4+%2B+1%2F8%29+=+16\"$
\n" ); document.write( "divide both sides by 16
\n" ); document.write( " $\"%284%2Ax+%2B+2%29+%2F+%284%2Ax+%2B+2%29+=+1\"$
\n" ); document.write( "OK
\n" ); document.write( "notice that 0 can't be a solution for x division by zero is not allowed\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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