Question

Find ten rational numbers between -1 by 5 and 1 by 2 ​

Answer 1

Explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

`(-1)/(5)=(-1*2)/(5*2)=(-2)/(10)\\\\\\(1)/(2)=(1*5)/(2*5)=(5)/(10)\\\\\\`

Now multiply the numerator and denominators of the both the numbers by 10.

`(-2*10)/(10*10)= (-20)/(100) \ and \ (5*10)/(10*10)=(50)/(100)\\\\\\Now\ 10 \ rational \ numbers \ between(-20)/(10) \ and \ (50)/(100) \ is \\\\\\(-19)/(100),(-18)/(100),(-17)/(100),(-16)/(100).(-15)/(100),(-14)/(100),(-13)/(100),(-12)/(100),(-11)/(100);(-10)/(100)`