Question

find five rational number between ⅙ and ⅓​

Answer 1

Let ⅓​ be multiplied by 12/12 and  ⅙ be multiplied by 6/6 so that the denominator become equal .

∴ $\sf{\frac{1}{3} \times \frac{12}{12} }$ = $\bold{\frac{12}{36} }$

And , $\sf{\frac{1}{6} \times \frac{6}{6} }= \bold{\frac{6}{36}}$

So , the 5 rational numbers between$\sf{\frac{12}{36} }$ and $\sf{\frac{6}{36}$​ are :-

$\sf{\frac{7}{36} < \frac{8}{36} < \frac{9}{36} < \frac{10}{36} < \frac{11}{36}}$

$\sf{\implies \frac{7}{36}< \frac{2}{9}< \frac{1}{4} < \frac{5}{18} < \frac{11}{36}}$

∴  The 5  rational number between ⅙ and ⅓​ :-

$\sf{\implies \frac{7}{36}, \frac{2}{9},\frac{1}{4} , \frac{5}{18}, \frac{11}{36}}$

Hope it helps you

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