Question

Find 3 rational numbers between 1/5 and 2/3​

Answer 1

Formula to find rational numbers between any 2 rational numbers is a+b/2 so

let a=1/5 and b=2/3

1/5+2/3/2=13/15/2=26/15

and let a=1/5 and b=26/15

1/5+26/15/2=29/15/2=58/15

and let a=26/15 and b=2/3

26/15+2/3/2= 216/2.

4.1

Answer 2

Answer:

$\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15} \\ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \\ numnber \: between \: \frac{3}{15} and \: \frac{10}{15} are \: in \: between \: \frac{1}{5} and \frac{2}{3}$

therefore required numbers are

$\frac{4}{15} \frac{5}{15} and \frac{6}{15}$