Insert seven rational numbers between 2 and 3. - Vidyadip

Question

Insert seven rational numbers between $2$ and $3$.

✓

Answer

As, we have to find $7$ rational numbers between $2$ and $3$ , we multiply the numbers by $\frac{8}{8}$
$\therefore 2=2 \times \frac{8}{8}=\frac{16}{8}$
and $3=3 \times \frac{8}{8}=\frac{24}{8}$
Thus, $7$ rational numbers between $2$ and $3$
i. e, $(\frac{16}{8}$ and $\frac{24}{8})$ are
$= \frac{17}{8}, \frac{18}{8}, \frac{19}{8}, \frac{20}{8}, \frac{21}{8}, \frac{22}{8}, \frac{23}{8}$
$ =\frac{17}{8}, \frac{9}{4}, \frac{19}{8}, \frac{5}{2}, \frac{21}{8}, \frac{11}{4}, \frac{23}{8}$
$ =2 \frac{1}{8}, 2 \frac{1}{4}, 2 \frac{3}{8}, 2 \frac{1}{2}, 2 \frac{5}{8}, 2 \frac{3}{4}$ and $2 \frac{7}{8}$

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