Question

Find three rational number between 3/5 and2/3

Find three rational numbers between 3/5 and 2/3

Answer 1

Rational umber inserting

= ( r + s ) / 2

= ( 3/5 + 2/3 ) ÷ 2

= ( 9 + 10 ) / 15 ÷ 2

= 19/15 × 1/2

= 19/30

In 3/5 and 19/30

= ( 3/5 + 19/30 ) ÷ 2

= 37/30 × 1/2

= 37/60

In 19/30 and 2/3

= ( 19/30 + 2/3 ) ÷ 2

= 39/30 × 1/2

= 39/60

3/5 < 37/60 < 19/30 < 39/60 < 2/3

Hope it helps☺!✌

Answer 2

Step-by-step explanation:

hi, here is your answer-

we use this formula- 1/2 (a+b)

then, 1/2 (3/5+2/3)

=19/30. ~ 1st rational no.

then , 1/2 (3/5+19/30)

=37/60. ~2nd rational no.

then, 1/2 (3/5+37/60)

= 55/120. ~3rd rational no.

i hope it helps.

please mark me brainliest.