Find six rational number between $\frac{-5}{3} \ and \ \frac{-8}{7}$

Given : The number $\frac{-5}{3} \ and \ \frac{-8}{7}$ 

To find: Six rational number between them

Solution: 

Take LCM of 3 and 7 , which is 21

So, the number are $\frac{-35}{21} \ and \ \frac{-24}{21}$ 

SInce the denominator is equal , we can find 6 numbers between $\frac{-35}{21} \ and \ \frac{-24}{21}$ 

$\frac{-25}{21},\frac{-26}{21},\frac{-27}{21},\frac{-28}{21},\frac{-29}{21}\ and \ \frac{-30}{21}$

Hence, the number between $\frac{-5}{3} \ and \ \frac{-8}{7}$ is

$\frac{-25}{21},\frac{-26}{21},\frac{-27}{21},\frac{-28}{21},\frac{-29}{21}\ and \ \frac{-30}{21}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

46 Views

Kickstart Your Career

Get certified by completing the course

Get Started