Question

find 4 rational number between 1/2 & 3/5​

Answer 1

${\green{\bf{\underline{\underline{\bigstar Solution : }}}}}$

$<font color = orange><font style = sf>$

$\pink {formula\: here\:use = 1/2 (sum\: of \:no.)}$

1st rational no. = 1/2(1/2 + 3/5)

= 1/2(5 + 6/10)

= 1/2 × 11/10

= 11/20

2nd rational no. = 1/2(11/20 + 3/5)

= 1/2(11 + 12/20)

= 1/2 × 23/20

= 23/40

3rd rational no. = 1/2(1/2 + 11/20)

= 1/2(20 + 11/20)

= 1/2 × 31/20

= 31/40

4th rational no. = 1/2(1/2 + 31/40)

= 1/2(20 + 31/40)

= 1/2 × 51/40

= 51/80