Six rational between 7and 9

We know that there are infinite rational numbers between any two numbers. A rational number is the one that can be written in the form of {tex}\frac{p}{q}{/tex}, where p and q are integers and {tex}q \ne 0{/tex} We know that the numbers all lie between 3 and 4. We need to rewrite the numbers in {tex}\frac{p}{q}{/tex} form to get the rational numbers between 3 and 4. So, we cover it in{tex}\frac{p}{q}{/tex}

{tex}\eqalign{ & {7 \over 1} = {7 \over 1} \times {{10} \over {10}} = {{70} \over {10}} \cr & {9 \over 1} = {9 \over 1} \times {{10} \over {10}} = {{90} \over {10}} \cr} {/tex}

So any six number between {tex}{{70} \over {10}},{{90} \over {10}}{/tex}will be the answer example {tex}{{71} \over {10}},{{73} \over {10}},{{74} \over {10}},{{75} \over {10}},{{77} \over {10}},{{78} \over {10}}{/tex}