document.write( "Question 1042956: If x, y ∈ Q then there are integers a, b, c such that x = a/c and y =b/c\r
\n" ); document.write( "\n" ); document.write( "Can this be proven using a proof or is there a solid counterexample?
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Algebra.Com's Answer #658027 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
Statement is true.\r
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\n" ); document.write( "\n" ); document.write( "x and y are rational by definition, so let c equal the least common denominator of x and y. Then you can find a and b such that x = a/c and y = b/c.\r
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\n" ); document.write( "\n" ); document.write( "Formally, let

and

where p, q, r, s are integers,

0\"> and

(i.e. fractions in simplest form). Then

and

is an example set of values. \n" ); document.write( "

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