document.write( "Question 131091This question is from textbook Prealgebra and Introductory Algebra
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document.write( ": Is this true or false? When dividing a fraction, the numerator is inverted and multiplied by the denominator. \n" );
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Algebra.Com's Answer #95760 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Is this true or false? When dividing a fraction, the numerator is inverted and multiplied by the denominator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I will assume that you are talking about fractions of the form (a/b)/(c/d). These are known as complex fractions and what we want to do is to make the denominator,(c/d), equal to 1. When we do that, we will have reduced the complex fraction to a simple fraction and I'm sure that you can easily deal with those. How do we do that? We simply multiply (c/d) by (d/c) and that equals 1. If we do that, though, we have to also multiply the numerator by (d/c) and when we do that, we have multiplied the complex fraction by (d/c)/(d/c) which equals 1 and that does not chance a thing. Lets do that and see what we get:\r \n" ); document.write( "\n" ); document.write( "(a/b)*(d/c)/(c/d)*(d/c)=(a*d/b*c)/1 which equals (a/b)*(d/c) or ad/bc \r \n" ); document.write( "\n" ); document.write( "SO THE ANSWER IS \"FALSE\". WHAT WE ACTUALLY DID WAS TO INVERT THE DENOMINATOR \n" ); document.write( "AND MULTIPLY BUT HOPEFULLY YOU CAN NOW SEE WHY WE INVERTED THE DENOMINATOR AND MULTIPLIED\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |