Six rational between 7and 9

1.	Six rational between 7and 9
Answer» 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}\xa0We know that the numbers all lie between 3 and 4. We need to rewrite the numbers in {tex}\\frac{p}{q}{/tex}\xa0form 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}\xa0\xa0 7=7.0 and 9= 9.0The required numbers are = 7.1,7.2,7.3,7.4,7.5 ,7.6

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