To find rational numbers between -5/8 and 5/8, we need to first find the midpoint of these two numbers.

Midpoint = ( -5/8 + 5/8 ) / 2

Midpoint = 0/8

Midpoint = 0



To get 10 rational numbers between -5/8 and 5/8, we need to add a fraction to the midpoint. We can add fractions with the same denominator as follows:

0/8 + 1/8 = 1/8

0/8 + 2/8 = 2/8

0/8 + 3/8 = 3/8

0/8 + 4/8 = 4/8

0/8 + 5/8 = 5/8

0/8 + 6/8 = 6/8

0/8 + 7/8 = 7/8

0/8 + 8/8 = 8/8



Some of the fractions we got by adding the numerator to the midpoint are not in the simplest form. We can simplify the fractions as follows:

1/8 = 1 ÷ 1 / 8 ÷ 1 = 1/8

2/8 = 2 ÷ 2 / 8 ÷ 2 = 1/4

3/8 = 3 ÷ 1 / 8 ÷ 3 = 3/8

4/8 = 4 ÷ 4 / 8 ÷ 4 = 1/2

5/8 = 5 ÷ 1 / 8 ÷ 5 = 5/8

6/8 = 6 ÷ 2 / 8 ÷ 2 = 3/4

7/8 = 7 ÷ 1 / 8 ÷ 7 = 7/8

8/8 = 8 ÷ 8 / 8 ÷ 8 = 1



After simplifying the fractions, the final list of 10 rational numbers between -5/8 and 5/8 is:

- 1/8
- 1/4
- 3/8
- 1/2
- 5/8
- 3/4
- 7/8
- 1/1

10 rational no. between -5/8 and 5/8 are -4/8,-3/8,-2/8,-1/8,0,1/8,2/8,3/8,4/8,and 9/16.