document.write( "Question 770473: the smallest fraction which, when added to 2/5*15/21*7/10*3/8 given a whole number is: 36/37,37/40 how to solve it? \n" ); document.write( "
Algebra.Com's Answer #469651 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"2%2F5\"\"%22%22%2A%22%22\"\"15%2F21\"\"%22%22%2A%22%22\"\"7%2F10\"\"%22%22%2A%22%22\"\"3%2F8\"\r\n" );
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document.write( "Factor all numbers into primes:\r\n" );
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document.write( "\"2%2F5\"\"%22%22%2A%22%22\"\"3%2A5%2F%283%2A7%29\"\"%22%22%2A%22%22\"\"7%2F%282%2A5%29\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "Cancel a pair of 2's\r\n" );
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document.write( "\"cross%282%29%2F5\"\"%22%22%2A%22%22\"\"3%2A5%2F%283%2A7%29\"\"%22%22%2A%22%22\"\"7%2F%28cross%282%29%2A5%29\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "\"1%2F5\"\"%22%22%2A%22%22\"\"3%2A5%2F%283%2A7%29\"\"%22%22%2A%22%22\"\"7%2F5\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "Cancel a pair of 3's\r\n" );
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document.write( "\"1%2F5\"\"%22%22%2A%22%22\"\"cross%283%29%2A5%2F%28cross%283%29%2A7%29\"\"%22%22%2A%22%22\"\"7%2F5\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "\"1%2F5\"\"%22%22%2A%22%22\"\"5%2F7\"\"%22%22%2A%22%22\"\"7%2F5\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "Cancel a pair of 5's\r\n" );
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document.write( "\"1%2Fcross%285%29\"\"%22%22%2A%22%22\"\"cross%285%29%2F7\"\"%22%22%2A%22%22\"\"7%2F5\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F1\"\"%22%22%2A%22%22\"\"1%2F7\"\"%22%22%2A%22%22\"\"7%2F5\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "Cancel a pair of 7's\r\n" );
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document.write( "\"1%2F1\"\"%22%22%2A%22%22\"\"1%2Fcross%287%29\"\"%22%22%2A%22%22\"\"cross%287%29%2F%285%29\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "\"1%2F1\"\"%22%22%2A%22%22\"\"1%2F1\"\"%22%22%2A%22%22\"\"1%2F5\"\"%22%22%2A%22%22\"\"3%2F%282%2A2%2A2%29\"\r\n" );
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document.write( "So that becomes:\r\n" );
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document.write( "\"3%2F%285%2A2%2A2%2A2%29\"\r\n" );
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document.write( "\"3%2F40\"\r\n" );
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document.write( "The next whole number to that is 1\r\n" );
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document.write( "We subtract that from 1 to find out what we must \r\n" );
document.write( "add to \"3%2F40\" to get the next whole number, 1.\r\n" );
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document.write( "\"1\"\"%22%22-%22%22\"\"3%2F40\"\r\n" );
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document.write( "Write 1 as \"40%2F40\"\r\n" );
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document.write( "\"40%2F40\"\"%22%22-%22%22\"\"3%2F40\"\r\n" );
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document.write( "Answer: \"37%2F40\"\r\n" );
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document.write( "Edwin

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