document.write( "Question 335232: Homework problem :
\n" ); document.write( "x/2 + x/5 = 5/4
\n" ); document.write( "I solved the problem by finding the LCD = 20
\n" ); document.write( "20(x/2) + 20(x/5) = 20(5/4)
\n" ); document.write( "Next I did the multiplication which came out to
\n" ); document.write( "10x + 4x = 25
\n" ); document.write( "Then I added on the right side
\n" ); document.write( "14x = 25
\n" ); document.write( "And finally I divided
\n" ); document.write( "14x/14 = 25/14
\n" ); document.write( "x = 25/14\r
\n" ); document.write( "\n" ); document.write( "Is this right? and how do I check it? The plugging in the number for x is what I'm having trouble with, because I know you can't do (25/14)/2. I need to get the same answer on both sides of the equal sign (ex. y = y)
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Algebra.Com's Answer #240286 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here's how to check your answer when your answer is a fraction, and\r\n" );
document.write( "there are fractions in the original problem:\r\n" );
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document.write( "\"x%2F2\"\"%22%22%2B%22%22\"\"x%2F5\"\"%22%22=%22%22\"\"5%2F4\"\r\n" );
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document.write( "Write the fractions involving the variable as divisions:\r\n" );
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document.write( "\"%22x%F72%22\"\"%22%22%2B%22%22\"\"%22x%F75%22\"\"%22%22=%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "Then write them as multiplications by the reciprocals\r\n" );
document.write( "(\"inverting the second then multiplying\")\r\n" );
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document.write( "\"%22x%22\"\"%22%22%2A%22%22\"\"1%2F2\"\"%22%22\"\"%22%22\"\"%22%22%2B%22%22\"\"%22%22\"\"%22%22\"\"%0D%0A%22x%22\"\"%22%22%2A%22%22\"\"1%2F5\"\"%22%22\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "Now you can substitute your fraction answer:\r\n" );
document.write( "\r\n" );
document.write( "\"25%2F14\"\"%22%22%2A%22%22\"\"1%2F2\"\"%22%22\"\"%22%22\"\"%22%22%2B%22%22\"\"%22%22\"\"%22%22\"\"%0D%0A25%2F14\"\"%22%22%2A%22%22\"\"1%2F5\"\"%22%22\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "       \"5\"\r\n" );
document.write( "\"25%2F28\"\"%22%22\"\"%22%22\"\"%22%22%2B%22%22\"\"%22%22\"\"%22%22\"\"cross%2825%29%2F14\"\"%22%22%2A%22%22\"\"1%2Fcross%285%29\"\"%22%22\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "\"25%2F28\"\"%22%22\"\"%22%22\"\"%22%22%2B%22%22\"\"%22%22\"\"%22%22\"\"%0D%0A5%2F14\"\"%22%22\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "\"25%2F28\"\"%22%22\"\"%22%22\"\"%22%22%2B%22%22\"\"%22%22\"\"%22%22\"\"%0D%0A5%2F14\"\"%22%22%2A%22%22\"\"2%2F2\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "\"25%2F28\"\"%22%22\"\"%22%22\"\"%22%22%2B%22%22\"\"%22%22\"\"%22%22\"\"%0D%0A10%2F28\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "\"35%2F28\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "Reduce the fraction on the left:\r\n" );
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document.write( "\"5%2F4\"\"%22%22\"\"%22%22=%22%22\"\"%22%22\"\"5%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "But the easiest way to check is to convert your answer to a decimal using a\r\n" );
document.write( "calculator, then store it in the memory of your calculator, then type the left\r\n" );
document.write( "side into your calculator recalling the value you stored for x, and see if\r\n" );
document.write( "you get the same decimal answer on both sides.\r\n" );
document.write( " \r\n" );
document.write( "Edwin
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