document.write( "Question 42397: Simplify: (3 1/2) ÷ (2 3/5) × (1 1/4) ÷ (7/13)\r
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Algebra.Com's Answer #27552 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Simplify: (3 1/2) ÷ (2 3/5) × (1 1/4) ÷ (7/13)\r\n" );
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document.write( "(show your work)\r\n" );
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document.write( "(3 1/2) ÷ (2 3/5) × (1 1/4) ÷ (7/13)\r\n" );
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document.write( "Change the mixed fractions to improper fractions:\r\n" );
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document.write( "(7/2) ÷ (13/5) × (5/4) ÷ (7/13)\r\n" );
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document.write( "Invert the fractions that are divided and change the\r\n" );
document.write( "division to a multiplication\r\n" );
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document.write( "(7/2) × (5/13) × (5/4) × (13/7)\r\n" );
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document.write( "or\r\n" );
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document.write( " 7      5     5     13\r\n" );
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document.write( " 2     13     4      7\r\n" );
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document.write( "Cancel the 7 numerator in the first fraction\r\n" );
document.write( "and the 7 denominator in the last fraction:\r\n" );
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document.write( " 1\r\n" );
document.write( " 7      5     5     13\r\n" );
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document.write( " 2     13     4      7\r\n" );
document.write( "                     1\r\n" );
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document.write( "Cancel the 13 denominator in the second fraction\r\n" );
document.write( "and the 13 numerator in the last fraction:\r\n" );
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document.write( " 1                  1 \r\n" );
document.write( " 7      5     5     13\r\n" );
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document.write( " 2     13     4      7\r\n" );
document.write( "       1             1\r\n" );
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document.write( "So you have\r\n" );
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document.write( " 1     5     5     1\r\n" );
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document.write( " 2     1     4     1\r\n" );
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document.write( "Multiply the numerators 1×5×5×1 = 25\r\n" );
document.write( "Multiply the denominators 2×1×4×1 = 8\r\n" );
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document.write( "You get\r\n" );
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document.write( " 25\r\n" );
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document.write( "  8\r\n" );
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document.write( "Finally we can change that to a mixed number\r\n" );
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document.write( "3 1/8\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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