Question

how to find between 1/3 and 1/5 three rational numbers​

Answer 1

$\rm \red \: solution : -$

L.C.M. of 1/3 and 1/5 is 15.

$\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \\ \frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Now, to find three rational numbers between them, we will multiply both by 4.

$\frac{5}{15} = \frac{5 \times 4}{15 \times 4} = \frac{20}{60} \\ \frac{3}{15} = \frac{3 \times 4}{15 \times 4} = \frac{12}{60}$

Therefore, three rational numbers between them are :-

$\rm \frac{13}{20}, \frac{19}{60} \: and \: \frac{17}{60}$

Hope it helps you mate.