document.write( "Question 89410: Please help me to solve this fraction.\r
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Algebra.Com's Answer #65003 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Please help me to solve this fraction. \r\n" );
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document.write( "\"15\"\"15%2F16\" ÷ \"3\"\"3%2F4\"\r\n" );
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document.write( "Change these mixed fractions to improper fractions\r\n" );
document.write( "by this rule:\r\n" );
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document.write( "To change the mixed number \r\n" );
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document.write( "\"W\"\"N%2FD\"\r\n" );
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document.write( "to an improper fraction, where W = whole part, \r\n" );
document.write( "N = numerator, D = denominator\r\n" );
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document.write( "IMPROPER FRACTION = \"%28DW+%2B+N%29%2FD\"\r\n" );
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document.write( "Following the above rule with \"15\"\"15%2F16\"\r\n" );
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document.write( "\"W\" = 15, \"N\" = \"15\", \"D\" = \"16\"\r\n" );
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document.write( "IMPROPER FRACTION = \"%28DW+%2B+N%29%2FD\" = \"%2816%2A15+%2B+15%29%2F16\" = \"255%2F16\"\r\n" );
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document.write( "-----------------------\r\n" );
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document.write( "Following the rule with \"3\"\"3%2F4\"\r\n" );
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document.write( "\"W\" = 3, \"N\" = \"3\", \"D\" = \"4\"\r\n" );
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document.write( "IMPROPER FRACTION = \"%28DW+%2B+N%29%2FD\" = \"%284%2A3+%2B+3%29%2F4\" = \"15%2F4\"\r\n" );
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document.write( "So the original problem\r\n" );
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document.write( "\"15\"\"15%2F16\" ÷ \"3\"\"3%2F4\"\r\n" );
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document.write( "is now\r\n" );
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document.write( "\"255%2F16\"÷\"15%2F4\"\r\n" );
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document.write( "Now we use the principle of inverting the second fraction\r\n" );
document.write( "and changing the ÷ to ×\r\n" );
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document.write( " 255      4\r\n" );
document.write( "----- × ----\r\n" );
document.write( "  16     15\r\n" );
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document.write( "Cancel the 15 into the 255 and get 17 in the top\r\n" );
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document.write( "  17       \r\n" );
document.write( " 255      4\r\n" );
document.write( "----- × ----\r\n" );
document.write( "  16     15\r\n" );
document.write( "          1\r\n" );
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document.write( "Cancel the 4 into the 16 and get 4 in the bottom\r\n" );
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document.write( "  17      1           \r\n" );
document.write( " 255      4\r\n" );
document.write( "----- × ----\r\n" );
document.write( "  16     15\r\n" );
document.write( "   4      1\r\n" );
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document.write( "So you end up eith the improper fraction\r\n" );
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document.write( "\"17%2F4\"\r\n" );
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document.write( "Now since the original problem was given\r\n" );
document.write( "as mixed fractions, we change this to\r\n" );
document.write( "an improper fraction, by using this rule:\r\n" );
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document.write( "To change the improper fraction \"N%2FD\" to\r\n" );
document.write( "a mixed fraction,\r\n" );
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document.write( "perform the division\r\n" );
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document.write( "D)N\r\n" );
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document.write( "then the mixed fraction will be:\r\n" );
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document.write( "\"N%2FD\" = \"Q\"\"R%2FD\"\r\n" );
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document.write( "where \"N\" = the numerator, \"D\" = the denominator, \r\n" );
document.write( "\"Q\" = the quotient, \"R\" = the remainder \r\n" );
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document.write( "So we perform the division D)N \r\n" );
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document.write( " ` 4\r\n" );
document.write( "4)17\r\n" );
document.write( "  16\r\n" );
document.write( "   1  \r\n" );
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document.write( "Here, N = 17, D = 4, Q = 4, R = 1 so \r\n" );
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document.write( "\"N%2FD\" = \"Q\"\"R%2FD\" becomes\r\n" );
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document.write( "\"17%2F4\" = \"4\"\"1%2F4\"\r\n" );
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document.write( "Edwin
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