Insert 3 rational numbers between 1/5 and 3/5 .

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Solution

$\frac{1}{5} = 1 \times \frac{4}{5} \times 4 = \frac{4}{20}$
$\frac{3}{5} = 3 \times \frac{4}{5} \times 4 = \frac{12}{20}$
Now,
$\frac{4}{20} < \frac{5}{20} < \frac{6}{20} < \frac{7}{20} < \frac{12}{20}$
$\Rightarrow \frac{1}{5} < \frac{5}{20} < \frac{6}{20} < \frac{7}{20} < \frac{3}{5}$
So, $3$ rational numbers between $15$ and $35$ is
$\frac{5}{20}, \frac{6}{20}, \frac{7}{20}$

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Insert 3 rational numbers between 1/5 and 3/5 .

15=1×45×4=42035=3×45×4=1220Now, 420<520<620<720<1220⇒15<520<620<720<35So, 3 rational numbers between 15 and 35 is520,620,720