document.write( "Question 520011: WHAT IS THE ANSWER OF 3/4 +1/5 \n" ); document.write( "
Algebra.Com's Answer #345912 by Edwin McCravy(20055) $\"\"$ $\"About$
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document.write( "The denominators are not the same.  We must do \"face-lifts\" on\r\n" );
document.write( "the fractions without changing their values to get them to\r\n" );
document.write( "have the same denominator.\r\n" );
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document.write( "The LCD of 4 and 5 is 20.\r\n" );
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document.write( "Looking at the first fraction. To become 20, the denominator \r\n" );
document.write( "4 needs to be multiplied by 5.  But that would change the value\r\n" );
document.write( "of , so instead we multiply by  which is just \r\n" );
document.write( "1, and multiplying by 1 won't change the value of , but\r\n" );
document.write( "will just give it a face-lift, so we do that to the first fraction:\r\n" );
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document.write( "× + \r\n" );
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document.write( "Looking at the second fraction. To become 20, the denominator \r\n" );
document.write( "5 needs to be multiplied by 4.  But that would change the value\r\n" );
document.write( "of , so instead we multiply by  which is just \r\n" );
document.write( "1, and multiplying by 1 won't change the value of , but\r\n" );
document.write( "will just give it a face-lift, so we do that to the second fraction:\r\n" );
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document.write( "× + ×\r\n" );
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document.write( "Now we multiply the numerators and denominators and get\r\n" );
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document.write( " + \r\n" );
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document.write( "That can be thought of as \r\n" );
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document.write( "15 twentieths + 4 twentieths\r\n" );
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document.write( "and we know that \r\n" );
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document.write( "15 twentieths + 4 twentieths = 19 twentieths\r\n" );
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document.write( "just as we would know that\r\n" );
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document.write( "15 pencils + 4 pencils = 19 pencils\r\n" );
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document.write( "So therefore,\r\n" );
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document.write( " +  = .  So the whole process is:\r\n" );
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document.write( " +  = × + × =  +  = .  \r\n" );
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document.write( "Edwin
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