document.write( "Question 122519: how do you find the greatest common denominator for numeric fractions, in order to reduce them? \n" ); document.write( "

Algebra.Com's Answer #89936 by MathLover1(20850) $\"\"$ $\"About$

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Reducing fractions, simplify, and reduce to the lowest terms all means to $\"eliminate\"$ $\"common\"$ factors}}} between the nominator and the denominator.\r
\n" ); document.write( "\n" ); document.write( "Definition: The $\"greatest\"$ $\"+common\"$ $\"+factor\"$ or $\"GCF\"$
\n" ); document.write( " of two (or more) numbers $\"is\"$ the $\"product\"$ of $\"all\"$ the $\"factors\"$ the $\"numbers\"$ $\"+have\"$ $\"+in+\"$ $\"common\"$ . \r
\n" ); document.write( "\n" ); document.write( "If you wanted to find the greatest common factor of, for example, $\"+24\"$ and $\"36\"$ , you would express both as
\n" ); document.write( "products of their prime factors, and look for factors common to both:\r
\n" ); document.write( "\n" ); document.write( " $\"24++=++2+%2A+2+%2A+2+%2A+3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36++=++2+%2A+2+%2A+3%2A3\"$ \r
\n" ); document.write( "\n" ); document.write( "There are two $\"2s\"$ and one $\"3\"$ $\"common\"$ to both numbers, so $\"+2+%2A+2+%2A+3+=+12\"$ is the \" $\"GFC\"$ \" of $\"24\"$ and $\"36\"$ .\r
\n" ); document.write( "\n" ); document.write( "once you have $\"GFC\"$ , you divide the nominator and the denominator in order to reduce.\r
\n" ); document.write( "\n" ); document.write( "example:\r
\n" ); document.write( "\n" ); document.write( " $\"24%2F36+=24%3A12%2F%2836%3A12%29=2%2F3\"$ \n" ); document.write( "

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