Question

find three rational numbers between 3\5 and 2\3​

Answer 1

Step-by-step explanation:

Here in this question, denominators of both rational numbers are different, so first we have to make the denominators same by finding their LCM.

The LCM of 5 and 3 is 15.

3/5 * 3/3 = 9/15

2/3 * 5/5 = 10/15

Multiply them by 10 to get greater difference among both new numbers.

This gives 90 / 150 and 100 / 150

Therefore the five numbers between 3/5 and 2/3 are 91 / 150 , 92 / 150 ,93 / 150 , 94 / 150 and 97 / 150 .

Answer 2

♦Answer♦

First take the mid point of these given fractions (3/5+ 2/3) /2

=(9/15+ 10/15) /2

=(19/15) / 2

=19 /30

now take the mid points of 3 /5 and 19 /30

(3 /5 + 19 /30) / 2= 37 / 60

similarly find the mid points of 19 /30 and 2 /3

(19 /30 + 2 :3) /2= 39 /60

so in between rational numbers are 37/60, 19/30, 38/60..

Hope it helps u ♡´･ᴗ･`♡