document.write( "Question 34004: 1.Combine: \r
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Algebra.Com's Answer #20368 by AnlytcPhil(1807)\"\" \"About 
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1.Combine: \r\n" );
document.write( "3/48-12/75+ 4/12\r\n" );
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document.write( "  3     12      4\r\n" );
document.write( "———— - ———— + ———— \r\n" );
document.write( " 48     75     12\r\n" );
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document.write( "Reduce the fractions first\r\n" );
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document.write( "3/48 will reduce to 1/16, so replace 3/48 by 1/16\r\n" );
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document.write( "  1     12      4\r\n" );
document.write( "———— - ———— + ———— \r\n" );
document.write( " 16     75     12\r\n" );
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document.write( "12/75 will reduce to 4/25, so replace 12/75 by 4/25\r\n" );
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document.write( "  1      4      4\r\n" );
document.write( "———— - ———— + ———— \r\n" );
document.write( " 16     25     12\r\n" );
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document.write( "4/12 will reduce to 1/3, so replace 4/12 by 1/3\r\n" );
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document.write( "  1      4     1 \r\n" );
document.write( "———— - ———— + ——— \r\n" );
document.write( " 16     25     3\r\n" );
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document.write( "Now since there are no common factors of 16, 25 and 3 other\r\n" );
document.write( "than 1, we multiply them all together to find the LCD\r\n" );
document.write( "16×25×3 = 1200\r\n" );
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document.write( "To make the first fraction have denominator 16×25×3 we \r\n" );
document.write( "multiply 1/16 by the fraction (25×3)/(25×3) which equals 1\r\n" );
document.write( "and multiplying by 1 will not change the value 1/16.\r\n" );
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document.write( "  1    25×3     4     1 \r\n" );
document.write( "———— × ———— - ———— + ——— \r\n" );
document.write( " 16    25×3    25     3\r\n" );
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document.write( "To make the second fraction have denominator 16×25×3 we \r\n" );
document.write( "multiply 4/25 by the fraction (16×3)/(16×3) which equals 1\r\n" );
document.write( "and multiplying by 1 will not change the value 4/25.\r\n" );
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document.write( "  1    25×3     4    16×3    1 \r\n" );
document.write( "———— × ———— - ———— × ———— + ——— \r\n" );
document.write( " 16    25×3    25    16×3    3\r\n" );
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document.write( "To make the third fraction have denominator 16×25×3 we \r\n" );
document.write( "multiply 1/3 by the fraction (16×25)/(16×25) which equals 1\r\n" );
document.write( "and multiplying by 1 will not change the value 1/3.\r\n" );
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document.write( "  1    25×3     4    16×3    1    16×25\r\n" );
document.write( "———— × ———— - ———— × ———— + ——— × —————\r\n" );
document.write( " 16    25×3    25    16×3    3    16×25\r\n" );
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document.write( "Indicate the multiplications of numerators and denominatore\r\n" );
document.write( "in all three cases:\r\n" );
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document.write( "      1×25×3     4×16×3   1×16×25\r\n" );
document.write( "     ——————— - ———————— + ———————\r\n" );
document.write( "     16×25×3    25×16×3   3×16×25\r\n" );
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document.write( "Now multiply as indicated:\r\n" );
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document.write( "          75     192    400\r\n" );
document.write( "         ———— - ———— + ————\r\n" );
document.write( "         1200   1200   1200\r\n" );
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document.write( "Now combine numerators over the LCD 1200\r\n" );
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document.write( "         75 - 192 + 400\r\n" );
document.write( "         ——————————————\r\n" );
document.write( "              1200\r\n" );
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document.write( "Combining the numerator terms:\r\n" );
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document.write( "              283\r\n" );
document.write( "             ————\r\n" );
document.write( "             1200\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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