document.write( "Question 739950: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3 \n" ); document.write( "

Algebra.Com's Answer #451446 by KMST(5328) $\"\"$ $\"About$

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There is an infinite number of choices. Just pick a denominator (or 2), make up fractions that are less than 1, and add those fractions to 2.
\n" ); document.write( "For example,
\n" ); document.write( " $\"2%261%2F3=7%2F3\"$ and $\"2%262%2F3=8%2F3\"$ are between $\"2\"$ and $\"3\"$
\n" ); document.write( " $\"2%3C2%261%2F3=7%2F3%3C2%262%2F3=8%2F3%3C3\"$
\n" ); document.write( "
\n" ); document.write( " $\"2%262%2F5=12%2F5\"$ and $\"2%263%2F5=13%2F5\"$ would work too
\n" ); document.write( "and so would $\"2%5E3%2F1000=2003%2F1000\"$ and $\"2%26537%2F1000=2537%2F1000\"$ ,
\n" ); document.write( "or any combination.
\n" ); document.write( "There are many fractions of $\"1=3-2\"$ that we can add to 2 and still end up with less than 3.
\n" ); document.write( "
\n" ); document.write( "If asked for 5 rational numbers between 2 and 3, you could use
\n" ); document.write( " $\"2%261%2F100=201%2F100\"$ , $\"2%262%2F100=202%2F100=101%2F50\"$ , $\"2%263%2F100=203%2F100\"$ , $\"2%264%2F100=204%2F100=51%2F25\"$ , and $\"2%265%2F100=205%2F100=41%2F20\"$ \n" ); document.write( "

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