Answer:
[tex]\dfrac{-35}{63}, \dfrac{-34}{63},\dfrac{-33}{63},\dfrac{-32}{63}[/tex]
Step-by-step explanation:
We need to find four rational numbers between -4/7 and -4/9.
The LCM of 7 and 9 is 63.
So,
[tex]\dfrac{-4}{7}\times \dfrac{9}{9}=\dfrac{-36}{63}[/tex]
And
[tex]\dfrac{-4}{9}\times \dfrac{7}{7}=\dfrac{-28}{63}[/tex]
Four numbers are :
[tex]\dfrac{-35}{63}, \dfrac{-34}{63},\dfrac{-33}{63},\dfrac{-32}{63}[/tex]
Hence, this is the required solution.