Insert two rational no's b/ w …
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Sia ? 6 years, 6 months ago
First rational number between {tex}\frac{1}{2}{/tex} and {tex}\frac{1}{3}{/tex}
{tex}= \frac{1}{2}\left[ {\frac{1}{2} + \frac{1}{3}} \right] \Rightarrow \frac{1}{2}\left[ {\frac{{3 + 2}}{6}} \right] \Rightarrow \frac{5}{{12}}{/tex}
{tex} {\text{ = }}\frac{{\text{1}}}{{\text{2}}}{\text{,}}\frac{{\text{5}}}{{{\text{12}}}}{\text{ and }}\frac{{\text{1}}}{{\text{3}}}{/tex}
Second rational number between{tex}\frac{1}{2}and\frac{1}{3}{/tex}
{tex} {\text{ = }}\frac{1}{2}\left[ {\frac{1}{2} + \frac{5}{{12}}} \right] \Rightarrow \frac{1}{2}\left[ {\frac{{6 + 5}}{{12}}} \right] \Rightarrow \frac{{11}}{{24}} {/tex}
{tex} {\text{ = }}\frac{5}{{12}}and\frac{{11}}{{24}}{\text{ are two rational numbers between }}\frac{1}{2}and\frac{1}{3} {/tex}
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