document.write( "Question 215851: this is a complex fraction that I have attempted to solve but I am unable. Please help. 3over 4 + 2 over 5 long line which means divide I think 1 over 2 +3 over 5 \n" ); document.write( "
Algebra.Com's Answer #163104 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
\"%28%283%2F4%29+%2B+%282%2F5%29%29%2F%28%281%2F2%29+%2B%283%2F5%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "There are two main methods of simplifying this. A lot of books call it \"Method I\" compared to \"Method II.\" Probably the best way to explain it here is called \"Method I\". I call this the \"un-stacking method.\"\r
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\n" ); document.write( "\n" ); document.write( "The longer line means \"DIVIDE\", so just \"un-stack the problem like this:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%283%2F4%29+%2B+%282%2F5%29%29\" DIVIDED BY \"%28%281%2F2%29+%2B%283%2F5%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Next, you have to simplify each fraction by finding a common denominator for each. The LCD for the first fraction is 20. The second is 10. Write it like this:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%283%2F4%29+%2B+%282%2F5%29%29\" DIVIDED BY \"%28%281%2F2%29+%2B%283%2F5%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%283%2F4%29%2A%285%2F5%29+%2B+%282%2F5%29%2A%284%2F4%29%29\" DIVIDED BY \"%28%281%2F2%29%2A%285%2F5%29+%2B%283%2F5%29%2A%282%2F2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%2815%2F20%29+%2B+%288%2F20%29%29\" DIVIDED BY \"%28%285%2F10%29+%2B%286%2F10%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%2823%2F20%29+\" DIVIDED BY \"%2811%2F10%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Now, invert the second fraction and multiply:\r
\n" ); document.write( "\n" ); document.write( "\"%2823%2F20%29%2A%2810%2F11%29+\"\r
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\n" ); document.write( "Divide out the 10:\r
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\n" ); document.write( "\n" ); document.write( "\"%2823%2F2%29%2A%281%2F11%29+\"
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\n" ); document.write( "\n" ); document.write( "I have a pretty good page about complex fractions if you need to this with variables like x and y. If you need to see this, then find my homepage by doing a Google search for my last name \"Rapalje\". Look for the \"MATH IN LIVING COLOR\" page near the top of my Homepage. Choose \"Intermediate Algebra\", and look in Chapter 2 for the topic \"Complex Fractions.\"\r
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\n" ); document.write( "\n" ); document.write( "R^2 \r
\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
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