document.write( "Question 188743: I am struggling with this problem and do not know how to solve it. Please help if you can.. I am not to good at this type of problem and do not know where to begin. Thank you and this is a fraction over fraction and I need to simplify\r
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Algebra.Com's Answer #141567 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%282%2F%28x%2B5%29%2B4%2F%28x%2B3%29%29%2F%28%283x%2B13%29%2F%28x%5E2%2B8x%2B15%29%29\"\r\n" );
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document.write( "Write it as a division problem:\r\n" );
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document.write( "\"%282%2F%28x%2B5%29%2B4%2F%28x%2B3%29%29\"÷\"%28%283x%2B13%29%2F%28x%5E2%2B8x%2B15%29%29\"\r\n" );
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document.write( "Invert what we are dividing by, called the \"divisor\",\r\n" );
document.write( "and change the division to multiplication, use as \r\n" );
document.write( "askerisk \" * \" for multiplication rather than an \" x \" \r\n" );
document.write( "so we won't get it mixed up with the x's used for\r\n" );
document.write( "variables:\r\n" );
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document.write( "\"%282%2F%28x%2B5%29%2B4%2F%28x%2B3%29%29\"*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "Let's just work on the part in the red rectangle below, and\r\n" );
document.write( "just bring the rest down until we finish that part:\r\n" );
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document.write( "\"%28highlight%282%2F%28x%2B5%29%2B4%2F%28x%2B3%29%29%29\"*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "The LCD in that part is \"%28x%2B5%29%28x%2B3%29\", so we multiply the first\r\n" );
document.write( "fraction by \"%28x%2B3%29%2F%28x%2B3%29\" and the second fraction by \r\n" );
document.write( "\"%28x%2B5%29%2F%28x%2B5%29\"\r\n" );
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document.write( "*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "In each term, indicate the multiplication of the \r\n" );
document.write( "numerators and denominators by writing them as one \r\n" );
document.write( "fraction:\r\n" );
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document.write( "*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "Next we multiply out the numerators \r\n" );
document.write( "(but not the denominators):\r\n" );
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document.write( "*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "Now we combine the numerators over the LCD:\r\n" );
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document.write( "\"%28highlight%28%28++6x%2B26++%29%2F%28%28x%2B3%29%28x%2B5%29%29++%29%29%29\"*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "Now we can factor out a \"2\" in the numerator:\r\n" );
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document.write( "\"%28highlight%28%28++2%283x%2B13%29++%29%2F%28%28x%2B3%29%28x%2B5%29%29++%29%29%29\"*\"%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29\"\r\n" );
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document.write( "That's all we can do with that part, so let's\r\n" );
document.write( "put a red rectangle around the other part:\r\n" );
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document.write( "\"%28%28++2%283x%2B13%29++%29%2F%28%28x%2B3%29%28x%2B5%29%29++%29%29\"*\"%28highlight%28%28x%5E2%2B8x%2B15%29%2F%283x%2B13%29%29%29\"\r\n" );
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document.write( "We can factor the numerator:\r\n" );
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document.write( "\"%28%28++2%283x%2B13%29++%29%2F%28%28x%2B3%29%28x%2B5%29%29++%29%29\"*\"%28highlight%28%28%28x%2B3%29%28x%2B5%29%29%2F%283x%2B13%29%29%29\"\r\n" );
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document.write( "Next we indicate the multiplication of the numerators\r\n" );
document.write( "and denominators:\r\n" );
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document.write( "\"%282%283x%2B13%29%28x%2B3%29%28x%2B5%29%29%2F%28%28x%2B3%29%28x%2B5%29%283x%2B13%29%29\"\r\n" );
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document.write( "We can cancel the \"%283x%2B13%29\"'s\r\n" );
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document.write( "We can cancel the \"%28x%2B3%29\"'s\r\n" );
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document.write( "We can cancel the \"%28x%2B5%29\"'s\r\n" );
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document.write( "and we are left with just the number\r\n" );
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document.write( "\"2\".\r\n" );
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document.write( "All that work just to get 2!  \r\n" );
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document.write( "Edwin
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