document.write( "Question 162136This question is from textbook \n" );
document.write( ": In your own words, explain in detail why we can determine which of two fractions is greater by using the cross-multiplying method. What is the rationale behind this method? What are we really doing when we cross-multiply in order to compare fractions?\r \n" );
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document.write( "When we cross multiply we are actually finding a common denominator for both fractions; since both fractions will have the same common denominator, we only have to worry about comparing the numerators we obtained by cross multiplying....\r \n" );
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document.write( "EX: \n" );
document.write( "1/2 and 2/3\r \n" );
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document.write( "3 and 4 so 1/2 < 2/3\r \n" );
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document.write( "look at why: \n" );
document.write( "1/2 and 2/3 \n" );
document.write( "(1*3)/(2*3) and (2*2)/(3*2) \n" );
document.write( "3/6 and 4/6 \n" );
document.write( "since we are only comparing we can disregard the denominator now because it is the same\r \n" );
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document.write( "so \n" );
document.write( "3 and 4 \n" );
document.write( "so \n" );
document.write( "1/2 < 2/3 \n" );
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