Question

find the ten rational numbers between given two rational numbers -2/5 and 1/2.​

Answer 1

Answer:

-7 / 20 ; -6 / 20 ; -5 / 20 ; -4 / 20 ; -3 / 20 ; -2 / 20 ; -1 / 20 ; 0 ;1 / 20 and 2 / 20

Step-by-step explanation:

Converting the given Rational numbers with the same denominators.

-2 / 5 =  -2 * 4 / 5 * 4 = -8 / 20 and  1 / 2 =  1 * 10 / 2 * 10 = 10 / 20

We know that -8 < -7  < -6...  < 10

= -8 / 20 < -7 / 20 < -6 / 20... < 10 / 20

Thus, we have the following ten rational numbers between  -2 / 5 and 1 / 2:

7 / 20 ; -6 / 20 ; -5 / 20 ; -4 / 20 ; -3 / 20 ; -2 / 20 ; -1 / 20 ; 0 ;1 / 20 and 2 / 20

Answer 2

Answer:

LCM of  2 and 5 = 10

1/2 x 5/5 = 5/10

        and  

1/5 x 2/2 = 2/10

5/10 x 10/10 = 50/100

2/10 x 10/10 = 20/100

therefore rational number between 20/100 and 50/100 = 21/100,22/100,23/100,24/100,60/100,62/100,70/100,

80/100,,90/100,,100/100