Question

Insert 100 rational numbers between -5/8 and 1/2

Answer 1

Given: Two numbers -5/8 and 1/2

To find: Insert 100 rational numbers between -5/8 and 1/2

Solution:

• Now we have given two numbers, -5/8 and 1/2.

• LCM of the denominators of both numbers is:

                8 x 2 = 16

                -5/8 x 2/2 = -10/16

                1/2 x 8/8 = 8/16

• Now multiplying both the terms by 100, we get:

                -10/16 x 100/100 = -1000/1600

                 8/16 x 100/100 = 800/1600

• So the 100 rational numbers between -5/8 and 1/2 will be:

                -999/1600, -998/1600, -997/1600,  ........-899/1600

Answer:

                 So the  100 rational numbers between -5/8 and 1/2 are -999/1600, -998/1600, -997/1600,  ........-899/1600